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Finding the Fourth Proportional to 305.95, 458.53 and 151.50

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Solution

The fourth proportional to 305.95, 458.53 and 151.50 is: 227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.95 : 458.53 = 151.50 : x
  2. Step 2: Convert to fraction form
    305.95/458.53 = 151.50/x
  3. Step 3: Cross multiply
    305.95x = 458.53 × 151.50
  4. Step 4: Simplify right side
    305.95x = 69,467.30
  5. Step 5: Solve for x
    x = 69,467.30/305.95
  6. Step 6: Final answer
    x = 227.05

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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.