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Finding the Fourth Proportional to 604.71, 907.07 and 165.92

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Solution

The fourth proportional to 604.71, 907.07 and 165.92 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.71 : 907.07 = 165.92 : x
  2. Step 2: Convert to fraction form
    604.71/907.07 = 165.92/x
  3. Step 3: Cross multiply
    604.71x = 907.07 × 165.92
  4. Step 4: Simplify right side
    604.71x = 150,495.69
  5. Step 5: Solve for x
    x = 150,495.69/604.71
  6. Step 6: Final answer
    x = 248.87

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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.