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Finding the Fourth Proportional to 305.14, 457.25 and 160.42

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Solution

The fourth proportional to 305.14, 457.25 and 160.42 is: 240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 457.25 = 160.42 : x
  2. Step 2: Convert to fraction form
    305.14/457.25 = 160.42/x
  3. Step 3: Cross multiply
    305.14x = 457.25 × 160.42
  4. Step 4: Simplify right side
    305.14x = 73,349.76
  5. Step 5: Solve for x
    x = 73,349.76/305.14
  6. Step 6: Final answer
    x = 240.38

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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.