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Finding the Fourth Proportional to 266.10, 366.81 and 172.83

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Solution

The fourth proportional to 266.10, 366.81 and 172.83 is: 238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 366.81 = 172.83 : x
  2. Step 2: Convert to fraction form
    266.10/366.81 = 172.83/x
  3. Step 3: Cross multiply
    266.10x = 366.81 × 172.83
  4. Step 4: Simplify right side
    266.10x = 63,395.77
  5. Step 5: Solve for x
    x = 63,395.77/266.10
  6. Step 6: Final answer
    x = 238.24

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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.