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Finding the Fourth Proportional to 147.80, 203.82 and 115.04

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Solution

The fourth proportional to 147.80, 203.82 and 115.04 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 203.82 = 115.04 : x
  2. Step 2: Convert to fraction form
    147.80/203.82 = 115.04/x
  3. Step 3: Cross multiply
    147.80x = 203.82 × 115.04
  4. Step 4: Simplify right side
    147.80x = 23,447.45
  5. Step 5: Solve for x
    x = 23,447.45/147.80
  6. Step 6: Final answer
    x = 158.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.