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Finding the Fourth Proportional to 180.32, 269.86 and 153.58

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Solution

The fourth proportional to 180.32, 269.86 and 153.58 is: 229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 269.86 = 153.58 : x
  2. Step 2: Convert to fraction form
    180.32/269.86 = 153.58/x
  3. Step 3: Cross multiply
    180.32x = 269.86 × 153.58
  4. Step 4: Simplify right side
    180.32x = 41,445.10
  5. Step 5: Solve for x
    x = 41,445.10/180.32
  6. Step 6: Final answer
    x = 229.84

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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.