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Finding the Fourth Proportional to 295.31, 442.71 and 121.87

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Solution

The fourth proportional to 295.31, 442.71 and 121.87 is: 182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.31 : 442.71 = 121.87 : x
  2. Step 2: Convert to fraction form
    295.31/442.71 = 121.87/x
  3. Step 3: Cross multiply
    295.31x = 442.71 × 121.87
  4. Step 4: Simplify right side
    295.31x = 53,954.63
  5. Step 5: Solve for x
    x = 53,954.63/295.31
  6. Step 6: Final answer
    x = 182.70

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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.