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Finding the Fourth Proportional to 306.52, 459.84 and 142.16

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Solution

The fourth proportional to 306.52, 459.84 and 142.16 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.52 : 459.84 = 142.16 : x
  2. Step 2: Convert to fraction form
    306.52/459.84 = 142.16/x
  3. Step 3: Cross multiply
    306.52x = 459.84 × 142.16
  4. Step 4: Simplify right side
    306.52x = 65,368.88
  5. Step 5: Solve for x
    x = 65,368.88/306.52
  6. Step 6: Final answer
    x = 213.26

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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.