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Finding the Fourth Proportional to 147.59, 203.52 and 138.35

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Solution

The fourth proportional to 147.59, 203.52 and 138.35 is: 190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.59 : 203.52 = 138.35 : x
  2. Step 2: Convert to fraction form
    147.59/203.52 = 138.35/x
  3. Step 3: Cross multiply
    147.59x = 203.52 × 138.35
  4. Step 4: Simplify right side
    147.59x = 28,156.99
  5. Step 5: Solve for x
    x = 28,156.99/147.59
  6. Step 6: Final answer
    x = 190.78

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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.