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Finding the Fourth Proportional to 266.02, 366.10 and 225.12

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Solution

The fourth proportional to 266.02, 366.10 and 225.12 is: 309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.02 : 366.10 = 225.12 : x
  2. Step 2: Convert to fraction form
    266.02/366.10 = 225.12/x
  3. Step 3: Cross multiply
    266.02x = 366.10 × 225.12
  4. Step 4: Simplify right side
    266.02x = 82,416.43
  5. Step 5: Solve for x
    x = 82,416.43/266.02
  6. Step 6: Final answer
    x = 309.81

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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.