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Finding the Fourth Proportional to 251.28, 346.68 and 158.10

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Solution

The fourth proportional to 251.28, 346.68 and 158.10 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 346.68 = 158.10 : x
  2. Step 2: Convert to fraction form
    251.28/346.68 = 158.10/x
  3. Step 3: Cross multiply
    251.28x = 346.68 × 158.10
  4. Step 4: Simplify right side
    251.28x = 54,810.11
  5. Step 5: Solve for x
    x = 54,810.11/251.28
  6. Step 6: Final answer
    x = 218.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.