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Finding the Fourth Proportional to 266.70, 368.07 and 178.02

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Solution

The fourth proportional to 266.70, 368.07 and 178.02 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.70 : 368.07 = 178.02 : x
  2. Step 2: Convert to fraction form
    266.70/368.07 = 178.02/x
  3. Step 3: Cross multiply
    266.70x = 368.07 × 178.02
  4. Step 4: Simplify right side
    266.70x = 65,523.82
  5. Step 5: Solve for x
    x = 65,523.82/266.70
  6. Step 6: Final answer
    x = 245.68

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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.