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Finding the Fourth Proportional to 262.08, 362.16 and 252

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Solution

The fourth proportional to 262.08, 362.16 and 252 is: 348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.08 : 362.16 = 252 : x
  2. Step 2: Convert to fraction form
    262.08/362.16 = 252/x
  3. Step 3: Cross multiply
    262.08x = 362.16 × 252
  4. Step 4: Simplify right side
    262.08x = 91,264.32
  5. Step 5: Solve for x
    x = 91,264.32/262.08
  6. Step 6: Final answer
    x = 348.23

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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.