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Finding the Fourth Proportional to 207, 309.02 and 186.48

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Solution

The fourth proportional to 207, 309.02 and 186.48 is: 278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207 : 309.02 = 186.48 : x
  2. Step 2: Convert to fraction form
    207/309.02 = 186.48/x
  3. Step 3: Cross multiply
    207x = 309.02 × 186.48
  4. Step 4: Simplify right side
    207x = 57,625.12
  5. Step 5: Solve for x
    x = 57,625.12/207
  6. Step 6: Final answer
    x = 278.38

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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.