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Finding the Fourth Proportional to 266.01, 398.53 and 184.69

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Solution

The fourth proportional to 266.01, 398.53 and 184.69 is: 276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.01 : 398.53 = 184.69 : x
  2. Step 2: Convert to fraction form
    266.01/398.53 = 184.69/x
  3. Step 3: Cross multiply
    266.01x = 398.53 × 184.69
  4. Step 4: Simplify right side
    266.01x = 73,604.51
  5. Step 5: Solve for x
    x = 73,604.51/266.01
  6. Step 6: Final answer
    x = 276.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.