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Finding the Fourth Proportional to 256.70, 353.70 and 235.74

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Solution

The fourth proportional to 256.70, 353.70 and 235.74 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.70 : 353.70 = 235.74 : x
  2. Step 2: Convert to fraction form
    256.70/353.70 = 235.74/x
  3. Step 3: Cross multiply
    256.70x = 353.70 × 235.74
  4. Step 4: Simplify right side
    256.70x = 83,381.24
  5. Step 5: Solve for x
    x = 83,381.24/256.70
  6. Step 6: Final answer
    x = 324.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.