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Finding the Fourth Proportional to 294.67, 442 and 78.24

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Solution

The fourth proportional to 294.67, 442 and 78.24 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.67 : 442 = 78.24 : x
  2. Step 2: Convert to fraction form
    294.67/442 = 78.24/x
  3. Step 3: Cross multiply
    294.67x = 442 × 78.24
  4. Step 4: Simplify right side
    294.67x = 34,582.08
  5. Step 5: Solve for x
    x = 34,582.08/294.67
  6. Step 6: Final answer
    x = 117.36

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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.