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Finding the Fourth Proportional to 268.66, 403.10 and 177.74

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Solution

The fourth proportional to 268.66, 403.10 and 177.74 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.66 : 403.10 = 177.74 : x
  2. Step 2: Convert to fraction form
    268.66/403.10 = 177.74/x
  3. Step 3: Cross multiply
    268.66x = 403.10 × 177.74
  4. Step 4: Simplify right side
    268.66x = 71,646.99
  5. Step 5: Solve for x
    x = 71,646.99/268.66
  6. Step 6: Final answer
    x = 266.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.