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Finding the Fourth Proportional to 262.59, 362.40 and 152.06

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Solution

The fourth proportional to 262.59, 362.40 and 152.06 is: 209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.59 : 362.40 = 152.06 : x
  2. Step 2: Convert to fraction form
    262.59/362.40 = 152.06/x
  3. Step 3: Cross multiply
    262.59x = 362.40 × 152.06
  4. Step 4: Simplify right side
    262.59x = 55,105.52
  5. Step 5: Solve for x
    x = 55,105.52/262.59
  6. Step 6: Final answer
    x = 209.86

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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.