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Finding the Fourth Proportional to 570.11, 855.30 and 180.14

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Solution

The fourth proportional to 570.11, 855.30 and 180.14 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.11 : 855.30 = 180.14 : x
  2. Step 2: Convert to fraction form
    570.11/855.30 = 180.14/x
  3. Step 3: Cross multiply
    570.11x = 855.30 × 180.14
  4. Step 4: Simplify right side
    570.11x = 154,073.74
  5. Step 5: Solve for x
    x = 154,073.74/570.11
  6. Step 6: Final answer
    x = 270.25

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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.