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Finding the Fourth Proportional to 266.78, 368.01 and 156.24

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Solution

The fourth proportional to 266.78, 368.01 and 156.24 is: 215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 368.01 = 156.24 : x
  2. Step 2: Convert to fraction form
    266.78/368.01 = 156.24/x
  3. Step 3: Cross multiply
    266.78x = 368.01 × 156.24
  4. Step 4: Simplify right side
    266.78x = 57,497.88
  5. Step 5: Solve for x
    x = 57,497.88/266.78
  6. Step 6: Final answer
    x = 215.53

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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.