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Finding the Fourth Proportional to 266.04, 366.84 and 167.76

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Solution

The fourth proportional to 266.04, 366.84 and 167.76 is: 231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.04 : 366.84 = 167.76 : x
  2. Step 2: Convert to fraction form
    266.04/366.84 = 167.76/x
  3. Step 3: Cross multiply
    266.04x = 366.84 × 167.76
  4. Step 4: Simplify right side
    266.04x = 61,541.08
  5. Step 5: Solve for x
    x = 61,541.08/266.04
  6. Step 6: Final answer
    x = 231.32

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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.