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Finding the Fourth Proportional to 157.77, 234.88 and 157.01

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Solution

The fourth proportional to 157.77, 234.88 and 157.01 is: 233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 234.88 = 157.01 : x
  2. Step 2: Convert to fraction form
    157.77/234.88 = 157.01/x
  3. Step 3: Cross multiply
    157.77x = 234.88 × 157.01
  4. Step 4: Simplify right side
    157.77x = 36,876.94
  5. Step 5: Solve for x
    x = 36,876.94/157.77
  6. Step 6: Final answer
    x = 233.74

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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.