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Finding the Fourth Proportional to 305.01, 457.53 and 99.54

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Solution

The fourth proportional to 305.01, 457.53 and 99.54 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 457.53 = 99.54 : x
  2. Step 2: Convert to fraction form
    305.01/457.53 = 99.54/x
  3. Step 3: Cross multiply
    305.01x = 457.53 × 99.54
  4. Step 4: Simplify right side
    305.01x = 45,542.54
  5. Step 5: Solve for x
    x = 45,542.54/305.01
  6. Step 6: Final answer
    x = 149.31

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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.