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Finding the Fourth Proportional to 144.47, 216.59 and 117.74

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Solution

The fourth proportional to 144.47, 216.59 and 117.74 is: 176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.47 : 216.59 = 117.74 : x
  2. Step 2: Convert to fraction form
    144.47/216.59 = 117.74/x
  3. Step 3: Cross multiply
    144.47x = 216.59 × 117.74
  4. Step 4: Simplify right side
    144.47x = 25,499.63
  5. Step 5: Solve for x
    x = 25,499.63/144.47
  6. Step 6: Final answer
    x = 176.51

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Why These Related Problems?

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