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Finding the Fourth Proportional to 266.06, 367.47 and 178.58

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Solution

The fourth proportional to 266.06, 367.47 and 178.58 is: 246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 367.47 = 178.58 : x
  2. Step 2: Convert to fraction form
    266.06/367.47 = 178.58/x
  3. Step 3: Cross multiply
    266.06x = 367.47 × 178.58
  4. Step 4: Simplify right side
    266.06x = 65,623.71
  5. Step 5: Solve for x
    x = 65,623.71/266.06
  6. Step 6: Final answer
    x = 246.65

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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.