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Finding the Fourth Proportional to 305.38, 458.10 and 134.38

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Solution

The fourth proportional to 305.38, 458.10 and 134.38 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 458.10 = 134.38 : x
  2. Step 2: Convert to fraction form
    305.38/458.10 = 134.38/x
  3. Step 3: Cross multiply
    305.38x = 458.10 × 134.38
  4. Step 4: Simplify right side
    305.38x = 61,559.48
  5. Step 5: Solve for x
    x = 61,559.48/305.38
  6. Step 6: Final answer
    x = 201.58

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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.