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Finding the Fourth Proportional to 390.67, 585.64 and 147.13

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Solution

The fourth proportional to 390.67, 585.64 and 147.13 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.67 : 585.64 = 147.13 : x
  2. Step 2: Convert to fraction form
    390.67/585.64 = 147.13/x
  3. Step 3: Cross multiply
    390.67x = 585.64 × 147.13
  4. Step 4: Simplify right side
    390.67x = 86,165.21
  5. Step 5: Solve for x
    x = 86,165.21/390.67
  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.