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Finding the Fourth Proportional to 147.60, 202.56 and 135.36

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Solution

The fourth proportional to 147.60, 202.56 and 135.36 is: 185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 202.56 = 135.36 : x
  2. Step 2: Convert to fraction form
    147.60/202.56 = 135.36/x
  3. Step 3: Cross multiply
    147.60x = 202.56 × 135.36
  4. Step 4: Simplify right side
    147.60x = 27,418.52
  5. Step 5: Solve for x
    x = 27,418.52/147.60
  6. Step 6: Final answer
    x = 185.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.