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Finding the Fourth Proportional to 304.59, 456.71 and 156.20

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Solution

The fourth proportional to 304.59, 456.71 and 156.20 is: 234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.59 : 456.71 = 156.20 : x
  2. Step 2: Convert to fraction form
    304.59/456.71 = 156.20/x
  3. Step 3: Cross multiply
    304.59x = 456.71 × 156.20
  4. Step 4: Simplify right side
    304.59x = 71,338.10
  5. Step 5: Solve for x
    x = 71,338.10/304.59
  6. Step 6: Final answer
    x = 234.21

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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.