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Finding the Fourth Proportional to 169.65, 254.27 and 78.30

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Solution

The fourth proportional to 169.65, 254.27 and 78.30 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.65 : 254.27 = 78.30 : x
  2. Step 2: Convert to fraction form
    169.65/254.27 = 78.30/x
  3. Step 3: Cross multiply
    169.65x = 254.27 × 78.30
  4. Step 4: Simplify right side
    169.65x = 19,908.95
  5. Step 5: Solve for x
    x = 19,908.95/169.65
  6. Step 6: Final answer
    x = 117.35

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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.