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Finding the Fourth Proportional to 169.07, 253.20 and 149.84

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Solution

The fourth proportional to 169.07, 253.20 and 149.84 is: 224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.07 : 253.20 = 149.84 : x
  2. Step 2: Convert to fraction form
    169.07/253.20 = 149.84/x
  3. Step 3: Cross multiply
    169.07x = 253.20 × 149.84
  4. Step 4: Simplify right side
    169.07x = 37,938.22
  5. Step 5: Solve for x
    x = 37,938.22/169.07
  6. Step 6: Final answer
    x = 224.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.