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Finding the Fourth Proportional to 444.97, 667.51 and 152.53

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Solution

The fourth proportional to 444.97, 667.51 and 152.53 is: 228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.97 : 667.51 = 152.53 : x
  2. Step 2: Convert to fraction form
    444.97/667.51 = 152.53/x
  3. Step 3: Cross multiply
    444.97x = 667.51 × 152.53
  4. Step 4: Simplify right side
    444.97x = 101,811.96
  5. Step 5: Solve for x
    x = 101,811.96/444.97
  6. Step 6: Final answer
    x = 228.81

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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.