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Finding the Fourth Proportional to 266.69, 368.16 and 178.32

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Solution

The fourth proportional to 266.69, 368.16 and 178.32 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.69 : 368.16 = 178.32 : x
  2. Step 2: Convert to fraction form
    266.69/368.16 = 178.32/x
  3. Step 3: Cross multiply
    266.69x = 368.16 × 178.32
  4. Step 4: Simplify right side
    266.69x = 65,650.29
  5. Step 5: Solve for x
    x = 65,650.29/266.69
  6. Step 6: Final answer
    x = 246.17

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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.