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Finding the Fourth Proportional to 356.55, 534.83 and 151.07

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Solution

The fourth proportional to 356.55, 534.83 and 151.07 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.55 : 534.83 = 151.07 : x
  2. Step 2: Convert to fraction form
    356.55/534.83 = 151.07/x
  3. Step 3: Cross multiply
    356.55x = 534.83 × 151.07
  4. Step 4: Simplify right side
    356.55x = 80,793.34
  5. Step 5: Solve for x
    x = 80,793.34/356.55
  6. Step 6: Final answer
    x = 226.60

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Why These Related Problems?

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