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Finding the Fourth Proportional to 304.85, 456.45 and 160.28

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Solution

The fourth proportional to 304.85, 456.45 and 160.28 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.85 : 456.45 = 160.28 : x
  2. Step 2: Convert to fraction form
    304.85/456.45 = 160.28/x
  3. Step 3: Cross multiply
    304.85x = 456.45 × 160.28
  4. Step 4: Simplify right side
    304.85x = 73,159.81
  5. Step 5: Solve for x
    x = 73,159.81/304.85
  6. Step 6: Final answer
    x = 239.99

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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.