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Finding the Fourth Proportional to 304.65, 457.03 and 158.47

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Solution

The fourth proportional to 304.65, 457.03 and 158.47 is: 237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.65 : 457.03 = 158.47 : x
  2. Step 2: Convert to fraction form
    304.65/457.03 = 158.47/x
  3. Step 3: Cross multiply
    304.65x = 457.03 × 158.47
  4. Step 4: Simplify right side
    304.65x = 72,425.17
  5. Step 5: Solve for x
    x = 72,425.17/304.65
  6. Step 6: Final answer
    x = 237.73

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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.