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Finding the Fourth Proportional to 295.12, 442.82 and 141.12

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Solution

The fourth proportional to 295.12, 442.82 and 141.12 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 442.82 = 141.12 : x
  2. Step 2: Convert to fraction form
    295.12/442.82 = 141.12/x
  3. Step 3: Cross multiply
    295.12x = 442.82 × 141.12
  4. Step 4: Simplify right side
    295.12x = 62,490.76
  5. Step 5: Solve for x
    x = 62,490.76/295.12
  6. Step 6: Final answer
    x = 211.75

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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.