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Finding the Fourth Proportional to 147.60, 203.40 and 137.68

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Solution

The fourth proportional to 147.60, 203.40 and 137.68 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.60 : 203.40 = 137.68 : x
  2. Step 2: Convert to fraction form
    147.60/203.40 = 137.68/x
  3. Step 3: Cross multiply
    147.60x = 203.40 × 137.68
  4. Step 4: Simplify right side
    147.60x = 28,004.11
  5. Step 5: Solve for x
    x = 28,004.11/147.60
  6. Step 6: Final answer
    x = 189.73

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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.