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Finding the Fourth Proportional to 256.04, 353.42 and 145.60

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Solution

The fourth proportional to 256.04, 353.42 and 145.60 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 353.42 = 145.60 : x
  2. Step 2: Convert to fraction form
    256.04/353.42 = 145.60/x
  3. Step 3: Cross multiply
    256.04x = 353.42 × 145.60
  4. Step 4: Simplify right side
    256.04x = 51,457.43
  5. Step 5: Solve for x
    x = 51,457.43/256.04
  6. Step 6: Final answer
    x = 200.97

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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.