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Finding the Fourth Proportional to 298.12, 446.72 and 176.25

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Solution

The fourth proportional to 298.12, 446.72 and 176.25 is: 264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 446.72 = 176.25 : x
  2. Step 2: Convert to fraction form
    298.12/446.72 = 176.25/x
  3. Step 3: Cross multiply
    298.12x = 446.72 × 176.25
  4. Step 4: Simplify right side
    298.12x = 78,733.52
  5. Step 5: Solve for x
    x = 78,733.52/298.12
  6. Step 6: Final answer
    x = 264.10

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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.