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Finding the Fourth Proportional to 206.09, 310.18 and 155

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Solution

The fourth proportional to 206.09, 310.18 and 155 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 310.18 = 155 : x
  2. Step 2: Convert to fraction form
    206.09/310.18 = 155/x
  3. Step 3: Cross multiply
    206.09x = 310.18 × 155
  4. Step 4: Simplify right side
    206.09x = 48,077.13
  5. Step 5: Solve for x
    x = 48,077.13/206.09
  6. Step 6: Final answer
    x = 233.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.