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Finding the Fourth Proportional to 295.30, 442.87 and 78.82

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Solution

The fourth proportional to 295.30, 442.87 and 78.82 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 442.87 = 78.82 : x
  2. Step 2: Convert to fraction form
    295.30/442.87 = 78.82/x
  3. Step 3: Cross multiply
    295.30x = 442.87 × 78.82
  4. Step 4: Simplify right side
    295.30x = 34,907.01
  5. Step 5: Solve for x
    x = 34,907.01/295.30
  6. Step 6: Final answer
    x = 118.21

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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.