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Finding the Fourth Proportional to 249, 343.80 and 186.90

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Solution

The fourth proportional to 249, 343.80 and 186.90 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 343.80 = 186.90 : x
  2. Step 2: Convert to fraction form
    249/343.80 = 186.90/x
  3. Step 3: Cross multiply
    249x = 343.80 × 186.90
  4. Step 4: Simplify right side
    249x = 64,256.22
  5. Step 5: Solve for x
    x = 64,256.22/249
  6. Step 6: Final answer
    x = 258.06

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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.