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Finding the Fourth Proportional to 294.61, 442.04 and 140.53

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Solution

The fourth proportional to 294.61, 442.04 and 140.53 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.61 : 442.04 = 140.53 : x
  2. Step 2: Convert to fraction form
    294.61/442.04 = 140.53/x
  3. Step 3: Cross multiply
    294.61x = 442.04 × 140.53
  4. Step 4: Simplify right side
    294.61x = 62,119.18
  5. Step 5: Solve for x
    x = 62,119.18/294.61
  6. Step 6: Final answer
    x = 210.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.