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Finding the Fourth Proportional to 262.17, 363.52 and 253.50

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Solution

The fourth proportional to 262.17, 363.52 and 253.50 is: 351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 363.52 = 253.50 : x
  2. Step 2: Convert to fraction form
    262.17/363.52 = 253.50/x
  3. Step 3: Cross multiply
    262.17x = 363.52 × 253.50
  4. Step 4: Simplify right side
    262.17x = 92,152.32
  5. Step 5: Solve for x
    x = 92,152.32/262.17
  6. Step 6: Final answer
    x = 351.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.