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Finding the Fourth Proportional to 257.50, 355.35 and 141.06

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Solution

The fourth proportional to 257.50, 355.35 and 141.06 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 355.35 = 141.06 : x
  2. Step 2: Convert to fraction form
    257.50/355.35 = 141.06/x
  3. Step 3: Cross multiply
    257.50x = 355.35 × 141.06
  4. Step 4: Simplify right side
    257.50x = 50,125.67
  5. Step 5: Solve for x
    x = 50,125.67/257.50
  6. Step 6: Final answer
    x = 194.66

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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.