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Finding the Fourth Proportional to 208.02, 312.10 and 71.06

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Solution

The fourth proportional to 208.02, 312.10 and 71.06 is: 106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 312.10 = 71.06 : x
  2. Step 2: Convert to fraction form
    208.02/312.10 = 71.06/x
  3. Step 3: Cross multiply
    208.02x = 312.10 × 71.06
  4. Step 4: Simplify right side
    208.02x = 22,177.83
  5. Step 5: Solve for x
    x = 22,177.83/208.02
  6. Step 6: Final answer
    x = 106.61

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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.