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Finding the Fourth Proportional to 243.14, 336.14 and 188.06

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Solution

The fourth proportional to 243.14, 336.14 and 188.06 is: 259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.14 : 336.14 = 188.06 : x
  2. Step 2: Convert to fraction form
    243.14/336.14 = 188.06/x
  3. Step 3: Cross multiply
    243.14x = 336.14 × 188.06
  4. Step 4: Simplify right side
    243.14x = 63,211.87
  5. Step 5: Solve for x
    x = 63,211.87/243.14
  6. Step 6: Final answer
    x = 259.99

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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.