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Finding the Fourth Proportional to 262.01, 360.62 and 230.72

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Solution

The fourth proportional to 262.01, 360.62 and 230.72 is: 317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.01 : 360.62 = 230.72 : x
  2. Step 2: Convert to fraction form
    262.01/360.62 = 230.72/x
  3. Step 3: Cross multiply
    262.01x = 360.62 × 230.72
  4. Step 4: Simplify right side
    262.01x = 83,203.72
  5. Step 5: Solve for x
    x = 83,203.72/262.01
  6. Step 6: Final answer
    x = 317.56

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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.