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Finding the Fourth Proportional to 257, 354.65 and 157.40

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Solution

The fourth proportional to 257, 354.65 and 157.40 is: 217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 354.65 = 157.40 : x
  2. Step 2: Convert to fraction form
    257/354.65 = 157.40/x
  3. Step 3: Cross multiply
    257x = 354.65 × 157.40
  4. Step 4: Simplify right side
    257x = 55,821.91
  5. Step 5: Solve for x
    x = 55,821.91/257
  6. Step 6: Final answer
    x = 217.21

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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.