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Finding the Fourth Proportional to 254.90, 382.16 and 146.66

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Solution

The fourth proportional to 254.90, 382.16 and 146.66 is: 219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.90 : 382.16 = 146.66 : x
  2. Step 2: Convert to fraction form
    254.90/382.16 = 146.66/x
  3. Step 3: Cross multiply
    254.90x = 382.16 × 146.66
  4. Step 4: Simplify right side
    254.90x = 56,047.59
  5. Step 5: Solve for x
    x = 56,047.59/254.90
  6. Step 6: Final answer
    x = 219.88

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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.