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Finding the Fourth Proportional to 304.88, 457.42 and 160.48

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Solution

The fourth proportional to 304.88, 457.42 and 160.48 is: 240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.88 : 457.42 = 160.48 : x
  2. Step 2: Convert to fraction form
    304.88/457.42 = 160.48/x
  3. Step 3: Cross multiply
    304.88x = 457.42 × 160.48
  4. Step 4: Simplify right side
    304.88x = 73,406.76
  5. Step 5: Solve for x
    x = 73,406.76/304.88
  6. Step 6: Final answer
    x = 240.77

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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.