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Finding the Fourth Proportional to 262.59, 362.24 and 152.04

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Solution

The fourth proportional to 262.59, 362.24 and 152.04 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.59 : 362.24 = 152.04 : x
  2. Step 2: Convert to fraction form
    262.59/362.24 = 152.04/x
  3. Step 3: Cross multiply
    262.59x = 362.24 × 152.04
  4. Step 4: Simplify right side
    262.59x = 55,076.14
  5. Step 5: Solve for x
    x = 55,076.14/262.59
  6. Step 6: Final answer
    x = 209.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.