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Finding the Fourth Proportional to 289.67, 433.13 and 248.90

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Solution

The fourth proportional to 289.67, 433.13 and 248.90 is: 372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.67 : 433.13 = 248.90 : x
  2. Step 2: Convert to fraction form
    289.67/433.13 = 248.90/x
  3. Step 3: Cross multiply
    289.67x = 433.13 × 248.90
  4. Step 4: Simplify right side
    289.67x = 107,802.65
  5. Step 5: Solve for x
    x = 107,802.65/289.67
  6. Step 6: Final answer
    x = 372.16

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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.