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Finding the Fourth Proportional to 284.24, 426 and 176.16

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Solution

The fourth proportional to 284.24, 426 and 176.16 is: 264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 426 = 176.16 : x
  2. Step 2: Convert to fraction form
    284.24/426 = 176.16/x
  3. Step 3: Cross multiply
    284.24x = 426 × 176.16
  4. Step 4: Simplify right side
    284.24x = 75,044.16
  5. Step 5: Solve for x
    x = 75,044.16/284.24
  6. Step 6: Final answer
    x = 264.02

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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.