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Finding the Fourth Proportional to 157.96, 237.95 and 156.52

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Solution

The fourth proportional to 157.96, 237.95 and 156.52 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.96 : 237.95 = 156.52 : x
  2. Step 2: Convert to fraction form
    157.96/237.95 = 156.52/x
  3. Step 3: Cross multiply
    157.96x = 237.95 × 156.52
  4. Step 4: Simplify right side
    157.96x = 37,243.93
  5. Step 5: Solve for x
    x = 37,243.93/157.96
  6. Step 6: Final answer
    x = 235.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.