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Finding the Fourth Proportional to 266.72, 368.16 and 168.42

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Solution

The fourth proportional to 266.72, 368.16 and 168.42 is: 232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.72 : 368.16 = 168.42 : x
  2. Step 2: Convert to fraction form
    266.72/368.16 = 168.42/x
  3. Step 3: Cross multiply
    266.72x = 368.16 × 168.42
  4. Step 4: Simplify right side
    266.72x = 62,005.51
  5. Step 5: Solve for x
    x = 62,005.51/266.72
  6. Step 6: Final answer
    x = 232.47

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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.