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Finding the Fourth Proportional to 262.35, 362.06 and 151.82

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Solution

The fourth proportional to 262.35, 362.06 and 151.82 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.35 : 362.06 = 151.82 : x
  2. Step 2: Convert to fraction form
    262.35/362.06 = 151.82/x
  3. Step 3: Cross multiply
    262.35x = 362.06 × 151.82
  4. Step 4: Simplify right side
    262.35x = 54,966.52
  5. Step 5: Solve for x
    x = 54,966.52/262.35
  6. Step 6: Final answer
    x = 209.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.