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Finding the Fourth Proportional to 266.84, 368.15 and 173.70

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Solution

The fourth proportional to 266.84, 368.15 and 173.70 is: 239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.84 : 368.15 = 173.70 : x
  2. Step 2: Convert to fraction form
    266.84/368.15 = 173.70/x
  3. Step 3: Cross multiply
    266.84x = 368.15 × 173.70
  4. Step 4: Simplify right side
    266.84x = 63,947.66
  5. Step 5: Solve for x
    x = 63,947.66/266.84
  6. Step 6: Final answer
    x = 239.65

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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.