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Finding the Fourth Proportional to 266.93, 400.59 and 180.05

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Solution

The fourth proportional to 266.93, 400.59 and 180.05 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.93 : 400.59 = 180.05 : x
  2. Step 2: Convert to fraction form
    266.93/400.59 = 180.05/x
  3. Step 3: Cross multiply
    266.93x = 400.59 × 180.05
  4. Step 4: Simplify right side
    266.93x = 72,127.23
  5. Step 5: Solve for x
    x = 72,127.23/266.93
  6. Step 6: Final answer
    x = 270.22

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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.