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Finding the Fourth Proportional to 390.78, 586.20 and 147.24

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Solution

The fourth proportional to 390.78, 586.20 and 147.24 is: 220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 586.20 = 147.24 : x
  2. Step 2: Convert to fraction form
    390.78/586.20 = 147.24/x
  3. Step 3: Cross multiply
    390.78x = 586.20 × 147.24
  4. Step 4: Simplify right side
    390.78x = 86,312.09
  5. Step 5: Solve for x
    x = 86,312.09/390.78
  6. Step 6: Final answer
    x = 220.87

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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.