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Finding the Fourth Proportional to 158.64, 237.14 and 137.22

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Solution

The fourth proportional to 158.64, 237.14 and 137.22 is: 205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 237.14 = 137.22 : x
  2. Step 2: Convert to fraction form
    158.64/237.14 = 137.22/x
  3. Step 3: Cross multiply
    158.64x = 237.14 × 137.22
  4. Step 4: Simplify right side
    158.64x = 32,540.35
  5. Step 5: Solve for x
    x = 32,540.35/158.64
  6. Step 6: Final answer
    x = 205.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.