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Finding the Fourth Proportional to 310.94, 429.17 and 180.02

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Solution

The fourth proportional to 310.94, 429.17 and 180.02 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 429.17 = 180.02 : x
  2. Step 2: Convert to fraction form
    310.94/429.17 = 180.02/x
  3. Step 3: Cross multiply
    310.94x = 429.17 × 180.02
  4. Step 4: Simplify right side
    310.94x = 77,259.36
  5. Step 5: Solve for x
    x = 77,259.36/310.94
  6. Step 6: Final answer
    x = 248.47

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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.