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Finding the Fourth Proportional to 158.47, 237.15 and 107.05

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Solution

The fourth proportional to 158.47, 237.15 and 107.05 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.47 : 237.15 = 107.05 : x
  2. Step 2: Convert to fraction form
    158.47/237.15 = 107.05/x
  3. Step 3: Cross multiply
    158.47x = 237.15 × 107.05
  4. Step 4: Simplify right side
    158.47x = 25,386.91
  5. Step 5: Solve for x
    x = 25,386.91/158.47
  6. Step 6: Final answer
    x = 160.20

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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.