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Finding the Fourth Proportional to 304.69, 457.14 and 99.25

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Solution

The fourth proportional to 304.69, 457.14 and 99.25 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.69 : 457.14 = 99.25 : x
  2. Step 2: Convert to fraction form
    304.69/457.14 = 99.25/x
  3. Step 3: Cross multiply
    304.69x = 457.14 × 99.25
  4. Step 4: Simplify right side
    304.69x = 45,371.79
  5. Step 5: Solve for x
    x = 45,371.79/304.69
  6. Step 6: Final answer
    x = 148.91

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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.