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Finding the Fourth Proportional to 306.38, 459.71 and 114.02

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Solution

The fourth proportional to 306.38, 459.71 and 114.02 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 459.71 = 114.02 : x
  2. Step 2: Convert to fraction form
    306.38/459.71 = 114.02/x
  3. Step 3: Cross multiply
    306.38x = 459.71 × 114.02
  4. Step 4: Simplify right side
    306.38x = 52,416.13
  5. Step 5: Solve for x
    x = 52,416.13/306.38
  6. Step 6: Final answer
    x = 171.08

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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.