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Finding the Fourth Proportional to 298.75, 448.16 and 116.10

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Solution

The fourth proportional to 298.75, 448.16 and 116.10 is: 174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.75 : 448.16 = 116.10 : x
  2. Step 2: Convert to fraction form
    298.75/448.16 = 116.10/x
  3. Step 3: Cross multiply
    298.75x = 448.16 × 116.10
  4. Step 4: Simplify right side
    298.75x = 52,031.38
  5. Step 5: Solve for x
    x = 52,031.38/298.75
  6. Step 6: Final answer
    x = 174.16

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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.