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Finding the Fourth Proportional to 158.24, 237.06 and 151.71

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Solution

The fourth proportional to 158.24, 237.06 and 151.71 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 237.06 = 151.71 : x
  2. Step 2: Convert to fraction form
    158.24/237.06 = 151.71/x
  3. Step 3: Cross multiply
    158.24x = 237.06 × 151.71
  4. Step 4: Simplify right side
    158.24x = 35,964.37
  5. Step 5: Solve for x
    x = 35,964.37/158.24
  6. Step 6: Final answer
    x = 227.28

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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.