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Finding the Fourth Proportional to 262.29, 393.45 and 100.10

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Solution

The fourth proportional to 262.29, 393.45 and 100.10 is: 150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.29 : 393.45 = 100.10 : x
  2. Step 2: Convert to fraction form
    262.29/393.45 = 100.10/x
  3. Step 3: Cross multiply
    262.29x = 393.45 × 100.10
  4. Step 4: Simplify right side
    262.29x = 39,382.38
  5. Step 5: Solve for x
    x = 39,382.38/262.29
  6. Step 6: Final answer
    x = 150.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.