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Finding the Fourth Proportional to 305.22, 457.84 and 99.78

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Solution

The fourth proportional to 305.22, 457.84 and 99.78 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.22 : 457.84 = 99.78 : x
  2. Step 2: Convert to fraction form
    305.22/457.84 = 99.78/x
  3. Step 3: Cross multiply
    305.22x = 457.84 × 99.78
  4. Step 4: Simplify right side
    305.22x = 45,683.28
  5. Step 5: Solve for x
    x = 45,683.28/305.22
  6. Step 6: Final answer
    x = 149.67

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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.