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Finding the Fourth Proportional to 170.80, 254.56 and 167.14

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Solution

The fourth proportional to 170.80, 254.56 and 167.14 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.80 : 254.56 = 167.14 : x
  2. Step 2: Convert to fraction form
    170.80/254.56 = 167.14/x
  3. Step 3: Cross multiply
    170.80x = 254.56 × 167.14
  4. Step 4: Simplify right side
    170.80x = 42,547.16
  5. Step 5: Solve for x
    x = 42,547.16/170.80
  6. Step 6: Final answer
    x = 249.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.