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Finding the Fourth Proportional to 147.66, 203.50 and 116.48

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Solution

The fourth proportional to 147.66, 203.50 and 116.48 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 203.50 = 116.48 : x
  2. Step 2: Convert to fraction form
    147.66/203.50 = 116.48/x
  3. Step 3: Cross multiply
    147.66x = 203.50 × 116.48
  4. Step 4: Simplify right side
    147.66x = 23,703.68
  5. Step 5: Solve for x
    x = 23,703.68/147.66
  6. Step 6: Final answer
    x = 160.53

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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.