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Finding the Fourth Proportional to 305.07, 457.40 and 160.89

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Solution

The fourth proportional to 305.07, 457.40 and 160.89 is: 241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.07 : 457.40 = 160.89 : x
  2. Step 2: Convert to fraction form
    305.07/457.40 = 160.89/x
  3. Step 3: Cross multiply
    305.07x = 457.40 × 160.89
  4. Step 4: Simplify right side
    305.07x = 73,590.28
  5. Step 5: Solve for x
    x = 73,590.28/305.07
  6. Step 6: Final answer
    x = 241.22

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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.