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Finding the Fourth Proportional to 238.59, 357.55 and 209.63

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Solution

The fourth proportional to 238.59, 357.55 and 209.63 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.59 : 357.55 = 209.63 : x
  2. Step 2: Convert to fraction form
    238.59/357.55 = 209.63/x
  3. Step 3: Cross multiply
    238.59x = 357.55 × 209.63
  4. Step 4: Simplify right side
    238.59x = 74,953.58
  5. Step 5: Solve for x
    x = 74,953.58/238.59
  6. Step 6: Final answer
    x = 314.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.