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Finding the Fourth Proportional to 305.01, 457.61 and 160.70

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Solution

The fourth proportional to 305.01, 457.61 and 160.70 is: 241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 457.61 = 160.70 : x
  2. Step 2: Convert to fraction form
    305.01/457.61 = 160.70/x
  3. Step 3: Cross multiply
    305.01x = 457.61 × 160.70
  4. Step 4: Simplify right side
    305.01x = 73,534.84
  5. Step 5: Solve for x
    x = 73,534.84/305.01
  6. Step 6: Final answer
    x = 241.09

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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.