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Finding the Fourth Proportional to 266.40, 398.07 and 218.16

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Solution

The fourth proportional to 266.40, 398.07 and 218.16 is: 325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 398.07 = 218.16 : x
  2. Step 2: Convert to fraction form
    266.40/398.07 = 218.16/x
  3. Step 3: Cross multiply
    266.40x = 398.07 × 218.16
  4. Step 4: Simplify right side
    266.40x = 86,842.95
  5. Step 5: Solve for x
    x = 86,842.95/266.40
  6. Step 6: Final answer
    x = 325.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.