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Finding the Fourth Proportional to 180.10, 269.82 and 157

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Solution

The fourth proportional to 180.10, 269.82 and 157 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 269.82 = 157 : x
  2. Step 2: Convert to fraction form
    180.10/269.82 = 157/x
  3. Step 3: Cross multiply
    180.10x = 269.82 × 157
  4. Step 4: Simplify right side
    180.10x = 42,361.74
  5. Step 5: Solve for x
    x = 42,361.74/180.10
  6. Step 6: Final answer
    x = 235.21

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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.