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Finding the Fourth Proportional to 304.59, 456.47 and 160.02

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Solution

The fourth proportional to 304.59, 456.47 and 160.02 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.59 : 456.47 = 160.02 : x
  2. Step 2: Convert to fraction form
    304.59/456.47 = 160.02/x
  3. Step 3: Cross multiply
    304.59x = 456.47 × 160.02
  4. Step 4: Simplify right side
    304.59x = 73,043.53
  5. Step 5: Solve for x
    x = 73,043.53/304.59
  6. Step 6: Final answer
    x = 239.81

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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.