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Finding the Fourth Proportional to 157.68, 235.17 and 135

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Solution

The fourth proportional to 157.68, 235.17 and 135 is: 201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.68 : 235.17 = 135 : x
  2. Step 2: Convert to fraction form
    157.68/235.17 = 135/x
  3. Step 3: Cross multiply
    157.68x = 235.17 × 135
  4. Step 4: Simplify right side
    157.68x = 31,747.95
  5. Step 5: Solve for x
    x = 31,747.95/157.68
  6. Step 6: Final answer
    x = 201.34

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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.