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Finding the Fourth Proportional to 207.10, 309.01 and 186.66

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Solution

The fourth proportional to 207.10, 309.01 and 186.66 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.10 : 309.01 = 186.66 : x
  2. Step 2: Convert to fraction form
    207.10/309.01 = 186.66/x
  3. Step 3: Cross multiply
    207.10x = 309.01 × 186.66
  4. Step 4: Simplify right side
    207.10x = 57,679.81
  5. Step 5: Solve for x
    x = 57,679.81/207.10
  6. Step 6: Final answer
    x = 278.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.