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Finding the Fourth Proportional to 294.81, 442.16 and 192.81

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Solution

The fourth proportional to 294.81, 442.16 and 192.81 is: 289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.81 : 442.16 = 192.81 : x
  2. Step 2: Convert to fraction form
    294.81/442.16 = 192.81/x
  3. Step 3: Cross multiply
    294.81x = 442.16 × 192.81
  4. Step 4: Simplify right side
    294.81x = 85,251.91
  5. Step 5: Solve for x
    x = 85,251.91/294.81
  6. Step 6: Final answer
    x = 289.18

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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.