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Finding the Fourth Proportional to 158.16, 217.71 and 137.46

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Solution

The fourth proportional to 158.16, 217.71 and 137.46 is: 189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.16 : 217.71 = 137.46 : x
  2. Step 2: Convert to fraction form
    158.16/217.71 = 137.46/x
  3. Step 3: Cross multiply
    158.16x = 217.71 × 137.46
  4. Step 4: Simplify right side
    158.16x = 29,926.42
  5. Step 5: Solve for x
    x = 29,926.42/158.16
  6. Step 6: Final answer
    x = 189.22

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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.