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Finding the Fourth Proportional to 306.32, 459.14 and 143.68

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Solution

The fourth proportional to 306.32, 459.14 and 143.68 is: 215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 459.14 = 143.68 : x
  2. Step 2: Convert to fraction form
    306.32/459.14 = 143.68/x
  3. Step 3: Cross multiply
    306.32x = 459.14 × 143.68
  4. Step 4: Simplify right side
    306.32x = 65,969.24
  5. Step 5: Solve for x
    x = 65,969.24/306.32
  6. Step 6: Final answer
    x = 215.36

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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.