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Finding the Fourth Proportional to 356.75, 534.72 and 151.46

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Solution

The fourth proportional to 356.75, 534.72 and 151.46 is: 227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.75 : 534.72 = 151.46 : x
  2. Step 2: Convert to fraction form
    356.75/534.72 = 151.46/x
  3. Step 3: Cross multiply
    356.75x = 534.72 × 151.46
  4. Step 4: Simplify right side
    356.75x = 80,986.02
  5. Step 5: Solve for x
    x = 80,986.02/356.75
  6. Step 6: Final answer
    x = 227.01

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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.