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Finding the Fourth Proportional to 284.68, 392.91 and 174.22

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Solution

The fourth proportional to 284.68, 392.91 and 174.22 is: 240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 392.91 = 174.22 : x
  2. Step 2: Convert to fraction form
    284.68/392.91 = 174.22/x
  3. Step 3: Cross multiply
    284.68x = 392.91 × 174.22
  4. Step 4: Simplify right side
    284.68x = 68,452.78
  5. Step 5: Solve for x
    x = 68,452.78/284.68
  6. Step 6: Final answer
    x = 240.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.