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Finding the Fourth Proportional to 295.17, 442.75 and 78.74

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Solution

The fourth proportional to 295.17, 442.75 and 78.74 is: 118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.17 : 442.75 = 78.74 : x
  2. Step 2: Convert to fraction form
    295.17/442.75 = 78.74/x
  3. Step 3: Cross multiply
    295.17x = 442.75 × 78.74
  4. Step 4: Simplify right side
    295.17x = 34,862.14
  5. Step 5: Solve for x
    x = 34,862.14/295.17
  6. Step 6: Final answer
    x = 118.11

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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.