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Finding the Fourth Proportional to 144.16, 216.26 and 117.34

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Solution

The fourth proportional to 144.16, 216.26 and 117.34 is: 176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.16 : 216.26 = 117.34 : x
  2. Step 2: Convert to fraction form
    144.16/216.26 = 117.34/x
  3. Step 3: Cross multiply
    144.16x = 216.26 × 117.34
  4. Step 4: Simplify right side
    144.16x = 25,375.95
  5. Step 5: Solve for x
    x = 25,375.95/144.16
  6. Step 6: Final answer
    x = 176.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.