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Finding the Fourth Proportional to 625.40, 938.10 and 186.65

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Solution

The fourth proportional to 625.40, 938.10 and 186.65 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.40 : 938.10 = 186.65 : x
  2. Step 2: Convert to fraction form
    625.40/938.10 = 186.65/x
  3. Step 3: Cross multiply
    625.40x = 938.10 × 186.65
  4. Step 4: Simplify right side
    625.40x = 175,096.37
  5. Step 5: Solve for x
    x = 175,096.37/625.40
  6. Step 6: Final answer
    x = 279.98

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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.