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Finding the Fourth Proportional to 238.79, 357.73 and 177.74

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Solution

The fourth proportional to 238.79, 357.73 and 177.74 is: 266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.79 : 357.73 = 177.74 : x
  2. Step 2: Convert to fraction form
    238.79/357.73 = 177.74/x
  3. Step 3: Cross multiply
    238.79x = 357.73 × 177.74
  4. Step 4: Simplify right side
    238.79x = 63,582.93
  5. Step 5: Solve for x
    x = 63,582.93/238.79
  6. Step 6: Final answer
    x = 266.27

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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.