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Finding the Fourth Proportional to 297.84, 446.84 and 176.08

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Solution

The fourth proportional to 297.84, 446.84 and 176.08 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 446.84 = 176.08 : x
  2. Step 2: Convert to fraction form
    297.84/446.84 = 176.08/x
  3. Step 3: Cross multiply
    297.84x = 446.84 × 176.08
  4. Step 4: Simplify right side
    297.84x = 78,679.59
  5. Step 5: Solve for x
    x = 78,679.59/297.84
  6. Step 6: Final answer
    x = 264.17

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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.