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Finding the Fourth Proportional to 158.74, 218.73 and 117.23

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Solution

The fourth proportional to 158.74, 218.73 and 117.23 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.74 : 218.73 = 117.23 : x
  2. Step 2: Convert to fraction form
    158.74/218.73 = 117.23/x
  3. Step 3: Cross multiply
    158.74x = 218.73 × 117.23
  4. Step 4: Simplify right side
    158.74x = 25,641.06
  5. Step 5: Solve for x
    x = 25,641.06/158.74
  6. Step 6: Final answer
    x = 161.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.