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Finding the Fourth Proportional to 147.34, 203.26 and 116.16

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Solution

The fourth proportional to 147.34, 203.26 and 116.16 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.34 : 203.26 = 116.16 : x
  2. Step 2: Convert to fraction form
    147.34/203.26 = 116.16/x
  3. Step 3: Cross multiply
    147.34x = 203.26 × 116.16
  4. Step 4: Simplify right side
    147.34x = 23,610.68
  5. Step 5: Solve for x
    x = 23,610.68/147.34
  6. Step 6: Final answer
    x = 160.25

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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.