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Finding the Fourth Proportional to 390.61, 586.01 and 147.14

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Solution

The fourth proportional to 390.61, 586.01 and 147.14 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.61 : 586.01 = 147.14 : x
  2. Step 2: Convert to fraction form
    390.61/586.01 = 147.14/x
  3. Step 3: Cross multiply
    390.61x = 586.01 × 147.14
  4. Step 4: Simplify right side
    390.61x = 86,224.78
  5. Step 5: Solve for x
    x = 86,224.78/390.61
  6. Step 6: Final answer
    x = 220.74

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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.