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Finding the Fourth Proportional to 297.84, 447.66 and 237

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Solution

The fourth proportional to 297.84, 447.66 and 237 is: 356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 447.66 = 237 : x
  2. Step 2: Convert to fraction form
    297.84/447.66 = 237/x
  3. Step 3: Cross multiply
    297.84x = 447.66 × 237
  4. Step 4: Simplify right side
    297.84x = 106,095.42
  5. Step 5: Solve for x
    x = 106,095.42/297.84
  6. Step 6: Final answer
    x = 356.22

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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.