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Finding the Fourth Proportional to 306.16, 459.24 and 89.76

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Solution

The fourth proportional to 306.16, 459.24 and 89.76 is: 134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 459.24 = 89.76 : x
  2. Step 2: Convert to fraction form
    306.16/459.24 = 89.76/x
  3. Step 3: Cross multiply
    306.16x = 459.24 × 89.76
  4. Step 4: Simplify right side
    306.16x = 41,221.38
  5. Step 5: Solve for x
    x = 41,221.38/306.16
  6. Step 6: Final answer
    x = 134.64

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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.