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Finding the Fourth Proportional to 254.02, 351.15 and 180.97

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Solution

The fourth proportional to 254.02, 351.15 and 180.97 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 351.15 = 180.97 : x
  2. Step 2: Convert to fraction form
    254.02/351.15 = 180.97/x
  3. Step 3: Cross multiply
    254.02x = 351.15 × 180.97
  4. Step 4: Simplify right side
    254.02x = 63,547.62
  5. Step 5: Solve for x
    x = 63,547.62/254.02
  6. Step 6: Final answer
    x = 250.17

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Why These Related Problems?

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