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Finding the Fourth Proportional to 266.18, 366.24 and 260.05

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Solution

The fourth proportional to 266.18, 366.24 and 260.05 is: 357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.18 : 366.24 = 260.05 : x
  2. Step 2: Convert to fraction form
    266.18/366.24 = 260.05/x
  3. Step 3: Cross multiply
    266.18x = 366.24 × 260.05
  4. Step 4: Simplify right side
    266.18x = 95,240.71
  5. Step 5: Solve for x
    x = 95,240.71/266.18
  6. Step 6: Final answer
    x = 357.81

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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.