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Finding the Fourth Proportional to 169.19, 233.50 and 158.76

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Solution

The fourth proportional to 169.19, 233.50 and 158.76 is: 219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.19 : 233.50 = 158.76 : x
  2. Step 2: Convert to fraction form
    169.19/233.50 = 158.76/x
  3. Step 3: Cross multiply
    169.19x = 233.50 × 158.76
  4. Step 4: Simplify right side
    169.19x = 37,069.67
  5. Step 5: Solve for x
    x = 37,069.67/169.19
  6. Step 6: Final answer
    x = 219.11

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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.