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Finding the Fourth Proportional to 147.93, 222.09 and 117.53

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Solution

The fourth proportional to 147.93, 222.09 and 117.53 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 222.09 = 117.53 : x
  2. Step 2: Convert to fraction form
    147.93/222.09 = 117.53/x
  3. Step 3: Cross multiply
    147.93x = 222.09 × 117.53
  4. Step 4: Simplify right side
    147.93x = 26,101.13
  5. Step 5: Solve for x
    x = 26,101.13/147.93
  6. Step 6: Final answer
    x = 176.44

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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.