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Finding the Fourth Proportional to 305.54, 458.51 and 151.57

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Solution

The fourth proportional to 305.54, 458.51 and 151.57 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 458.51 = 151.57 : x
  2. Step 2: Convert to fraction form
    305.54/458.51 = 151.57/x
  3. Step 3: Cross multiply
    305.54x = 458.51 × 151.57
  4. Step 4: Simplify right side
    305.54x = 69,494.46
  5. Step 5: Solve for x
    x = 69,494.46/305.54
  6. Step 6: Final answer
    x = 227.45

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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.