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Finding the Fourth Proportional to 294.48, 442.52 and 178.95

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Solution

The fourth proportional to 294.48, 442.52 and 178.95 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 442.52 = 178.95 : x
  2. Step 2: Convert to fraction form
    294.48/442.52 = 178.95/x
  3. Step 3: Cross multiply
    294.48x = 442.52 × 178.95
  4. Step 4: Simplify right side
    294.48x = 79,188.06
  5. Step 5: Solve for x
    x = 79,188.06/294.48
  6. Step 6: Final answer
    x = 268.91

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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.