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Finding the Fourth Proportional to 258.71, 357.24 and 193.10

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Solution

The fourth proportional to 258.71, 357.24 and 193.10 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.71 : 357.24 = 193.10 : x
  2. Step 2: Convert to fraction form
    258.71/357.24 = 193.10/x
  3. Step 3: Cross multiply
    258.71x = 357.24 × 193.10
  4. Step 4: Simplify right side
    258.71x = 68,981.98
  5. Step 5: Solve for x
    x = 68,981.98/258.71
  6. Step 6: Final answer
    x = 266.64

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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.