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Finding the Fourth Proportional to 157.88, 235.16 and 157.08

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Solution

The fourth proportional to 157.88, 235.16 and 157.08 is: 233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.88 : 235.16 = 157.08 : x
  2. Step 2: Convert to fraction form
    157.88/235.16 = 157.08/x
  3. Step 3: Cross multiply
    157.88x = 235.16 × 157.08
  4. Step 4: Simplify right side
    157.88x = 36,938.93
  5. Step 5: Solve for x
    x = 36,938.93/157.88
  6. Step 6: Final answer
    x = 233.97

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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.