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Finding the Fourth Proportional to 390.50, 585.82 and 147.02

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Solution

The fourth proportional to 390.50, 585.82 and 147.02 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.50 : 585.82 = 147.02 : x
  2. Step 2: Convert to fraction form
    390.50/585.82 = 147.02/x
  3. Step 3: Cross multiply
    390.50x = 585.82 × 147.02
  4. Step 4: Simplify right side
    390.50x = 86,127.26
  5. Step 5: Solve for x
    x = 86,127.26/390.50
  6. Step 6: Final answer
    x = 220.56

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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.