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Finding the Fourth Proportional to 305.13, 457.78 and 99.75

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Solution

The fourth proportional to 305.13, 457.78 and 99.75 is: 149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.13 : 457.78 = 99.75 : x
  2. Step 2: Convert to fraction form
    305.13/457.78 = 99.75/x
  3. Step 3: Cross multiply
    305.13x = 457.78 × 99.75
  4. Step 4: Simplify right side
    305.13x = 45,664.45
  5. Step 5: Solve for x
    x = 45,664.45/305.13
  6. Step 6: Final answer
    x = 149.66

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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.