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Finding the Fourth Proportional to 284.29, 426.46 and 99.16

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Solution

The fourth proportional to 284.29, 426.46 and 99.16 is: 148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 426.46 = 99.16 : x
  2. Step 2: Convert to fraction form
    284.29/426.46 = 99.16/x
  3. Step 3: Cross multiply
    284.29x = 426.46 × 99.16
  4. Step 4: Simplify right side
    284.29x = 42,288.37
  5. Step 5: Solve for x
    x = 42,288.37/284.29
  6. Step 6: Final answer
    x = 148.75

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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.