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Finding the Fourth Proportional to 256.53, 354.07 and 178.01

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Solution

The fourth proportional to 256.53, 354.07 and 178.01 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.53 : 354.07 = 178.01 : x
  2. Step 2: Convert to fraction form
    256.53/354.07 = 178.01/x
  3. Step 3: Cross multiply
    256.53x = 354.07 × 178.01
  4. Step 4: Simplify right side
    256.53x = 63,029.77
  5. Step 5: Solve for x
    x = 63,029.77/256.53
  6. Step 6: Final answer
    x = 245.70

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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.