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Finding the Fourth Proportional to 266.09, 366.81 and 187.15

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Solution

The fourth proportional to 266.09, 366.81 and 187.15 is: 257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 366.81 = 187.15 : x
  2. Step 2: Convert to fraction form
    266.09/366.81 = 187.15/x
  3. Step 3: Cross multiply
    266.09x = 366.81 × 187.15
  4. Step 4: Simplify right side
    266.09x = 68,646.87
  5. Step 5: Solve for x
    x = 68,646.87/266.09
  6. Step 6: Final answer
    x = 257.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.