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Finding the Fourth Proportional to 253.79, 380.53 and 116.65

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Solution

The fourth proportional to 253.79, 380.53 and 116.65 is: 174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.79 : 380.53 = 116.65 : x
  2. Step 2: Convert to fraction form
    253.79/380.53 = 116.65/x
  3. Step 3: Cross multiply
    253.79x = 380.53 × 116.65
  4. Step 4: Simplify right side
    253.79x = 44,388.38
  5. Step 5: Solve for x
    x = 44,388.38/253.79
  6. Step 6: Final answer
    x = 174.90

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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.