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Finding the Fourth Proportional to 304.50, 457.02 and 158.52

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Solution

The fourth proportional to 304.50, 457.02 and 158.52 is: 237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 457.02 = 158.52 : x
  2. Step 2: Convert to fraction form
    304.50/457.02 = 158.52/x
  3. Step 3: Cross multiply
    304.50x = 457.02 × 158.52
  4. Step 4: Simplify right side
    304.50x = 72,446.81
  5. Step 5: Solve for x
    x = 72,446.81/304.50
  6. Step 6: Final answer
    x = 237.92

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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.