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Finding the Fourth Proportional to 564.90, 847.07 and 180.10

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Solution

The fourth proportional to 564.90, 847.07 and 180.10 is: 270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 847.07 = 180.10 : x
  2. Step 2: Convert to fraction form
    564.90/847.07 = 180.10/x
  3. Step 3: Cross multiply
    564.90x = 847.07 × 180.10
  4. Step 4: Simplify right side
    564.90x = 152,557.31
  5. Step 5: Solve for x
    x = 152,557.31/564.90
  6. Step 6: Final answer
    x = 270.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.