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Finding the Fourth Proportional to 158.76, 237.42 and 156.78

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Solution

The fourth proportional to 158.76, 237.42 and 156.78 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.76 : 237.42 = 156.78 : x
  2. Step 2: Convert to fraction form
    158.76/237.42 = 156.78/x
  3. Step 3: Cross multiply
    158.76x = 237.42 × 156.78
  4. Step 4: Simplify right side
    158.76x = 37,222.71
  5. Step 5: Solve for x
    x = 37,222.71/158.76
  6. Step 6: Final answer
    x = 234.46

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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.