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Finding the Fourth Proportional to 284.08, 392 and 159.72

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Solution

The fourth proportional to 284.08, 392 and 159.72 is: 220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.08 : 392 = 159.72 : x
  2. Step 2: Convert to fraction form
    284.08/392 = 159.72/x
  3. Step 3: Cross multiply
    284.08x = 392 × 159.72
  4. Step 4: Simplify right side
    284.08x = 62,610.24
  5. Step 5: Solve for x
    x = 62,610.24/284.08
  6. Step 6: Final answer
    x = 220.40

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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.