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Finding the Fourth Proportional to 292.10, 402.98 and 180.05

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Solution

The fourth proportional to 292.10, 402.98 and 180.05 is: 248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 402.98 = 180.05 : x
  2. Step 2: Convert to fraction form
    292.10/402.98 = 180.05/x
  3. Step 3: Cross multiply
    292.10x = 402.98 × 180.05
  4. Step 4: Simplify right side
    292.10x = 72,553.63
  5. Step 5: Solve for x
    x = 72,553.63/292.10
  6. Step 6: Final answer
    x = 248.39

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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.