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Finding the Fourth Proportional to 295, 442.50 and 166.76

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Solution

The fourth proportional to 295, 442.50 and 166.76 is: 250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295 : 442.50 = 166.76 : x
  2. Step 2: Convert to fraction form
    295/442.50 = 166.76/x
  3. Step 3: Cross multiply
    295x = 442.50 × 166.76
  4. Step 4: Simplify right side
    295x = 73,791.30
  5. Step 5: Solve for x
    x = 73,791.30/295
  6. Step 6: Final answer
    x = 250.14

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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.