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Finding the Fourth Proportional to 256.70, 353.94 and 173.99

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Solution

The fourth proportional to 256.70, 353.94 and 173.99 is: 239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.70 : 353.94 = 173.99 : x
  2. Step 2: Convert to fraction form
    256.70/353.94 = 173.99/x
  3. Step 3: Cross multiply
    256.70x = 353.94 × 173.99
  4. Step 4: Simplify right side
    256.70x = 61,582.02
  5. Step 5: Solve for x
    x = 61,582.02/256.70
  6. Step 6: Final answer
    x = 239.90

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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.