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Finding the Fourth Proportional to 306.48, 459.72 and 114.10

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Solution

The fourth proportional to 306.48, 459.72 and 114.10 is: 171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 459.72 = 114.10 : x
  2. Step 2: Convert to fraction form
    306.48/459.72 = 114.10/x
  3. Step 3: Cross multiply
    306.48x = 459.72 × 114.10
  4. Step 4: Simplify right side
    306.48x = 52,454.05
  5. Step 5: Solve for x
    x = 52,454.05/306.48
  6. Step 6: Final answer
    x = 171.15

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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.