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Finding the Fourth Proportional to 256.91, 354.51 and 174.02

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Solution

The fourth proportional to 256.91, 354.51 and 174.02 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 354.51 = 174.02 : x
  2. Step 2: Convert to fraction form
    256.91/354.51 = 174.02/x
  3. Step 3: Cross multiply
    256.91x = 354.51 × 174.02
  4. Step 4: Simplify right side
    256.91x = 61,690.06
  5. Step 5: Solve for x
    x = 61,690.06/256.91
  6. Step 6: Final answer
    x = 240.13

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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.