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Finding the Fourth Proportional to 253.60, 381.02 and 162.52

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Solution

The fourth proportional to 253.60, 381.02 and 162.52 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.60 : 381.02 = 162.52 : x
  2. Step 2: Convert to fraction form
    253.60/381.02 = 162.52/x
  3. Step 3: Cross multiply
    253.60x = 381.02 × 162.52
  4. Step 4: Simplify right side
    253.60x = 61,923.37
  5. Step 5: Solve for x
    x = 61,923.37/253.60
  6. Step 6: Final answer
    x = 244.18

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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.