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Finding the Fourth Proportional to 262.60, 362.36 and 152.08

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Solution

The fourth proportional to 262.60, 362.36 and 152.08 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.60 : 362.36 = 152.08 : x
  2. Step 2: Convert to fraction form
    262.60/362.36 = 152.08/x
  3. Step 3: Cross multiply
    262.60x = 362.36 × 152.08
  4. Step 4: Simplify right side
    262.60x = 55,107.71
  5. Step 5: Solve for x
    x = 55,107.71/262.60
  6. Step 6: Final answer
    x = 209.85

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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.