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Finding the Fourth Proportional to 254.30, 381.53 and 151.70

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Solution

The fourth proportional to 254.30, 381.53 and 151.70 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.30 : 381.53 = 151.70 : x
  2. Step 2: Convert to fraction form
    254.30/381.53 = 151.70/x
  3. Step 3: Cross multiply
    254.30x = 381.53 × 151.70
  4. Step 4: Simplify right side
    254.30x = 57,878.10
  5. Step 5: Solve for x
    x = 57,878.10/254.30
  6. Step 6: Final answer
    x = 227.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.