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Finding the Fourth Proportional to 294.89, 442.09 and 130.24

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Solution

The fourth proportional to 294.89, 442.09 and 130.24 is: 195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 442.09 = 130.24 : x
  2. Step 2: Convert to fraction form
    294.89/442.09 = 130.24/x
  3. Step 3: Cross multiply
    294.89x = 442.09 × 130.24
  4. Step 4: Simplify right side
    294.89x = 57,577.80
  5. Step 5: Solve for x
    x = 57,577.80/294.89
  6. Step 6: Final answer
    x = 195.25

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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.