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Finding the Fourth Proportional to 262.64, 360.10 and 243.68

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Solution

The fourth proportional to 262.64, 360.10 and 243.68 is: 334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 360.10 = 243.68 : x
  2. Step 2: Convert to fraction form
    262.64/360.10 = 243.68/x
  3. Step 3: Cross multiply
    262.64x = 360.10 × 243.68
  4. Step 4: Simplify right side
    262.64x = 87,749.17
  5. Step 5: Solve for x
    x = 87,749.17/262.64
  6. Step 6: Final answer
    x = 334.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.