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Finding the Fourth Proportional to 262.64, 362.46 and 152.14

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Solution

The fourth proportional to 262.64, 362.46 and 152.14 is: 209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 362.46 = 152.14 : x
  2. Step 2: Convert to fraction form
    262.64/362.46 = 152.14/x
  3. Step 3: Cross multiply
    262.64x = 362.46 × 152.14
  4. Step 4: Simplify right side
    262.64x = 55,144.66
  5. Step 5: Solve for x
    x = 55,144.66/262.64
  6. Step 6: Final answer
    x = 209.96

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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.