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Finding the Fourth Proportional to 306.16, 458.96 and 135.04

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Solution

The fourth proportional to 306.16, 458.96 and 135.04 is: 202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 458.96 = 135.04 : x
  2. Step 2: Convert to fraction form
    306.16/458.96 = 135.04/x
  3. Step 3: Cross multiply
    306.16x = 458.96 × 135.04
  4. Step 4: Simplify right side
    306.16x = 61,977.96
  5. Step 5: Solve for x
    x = 61,977.96/306.16
  6. Step 6: Final answer
    x = 202.44

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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.