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Finding the Fourth Proportional to 305.68, 421.76 and 174.62

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Solution

The fourth proportional to 305.68, 421.76 and 174.62 is: 240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.68 : 421.76 = 174.62 : x
  2. Step 2: Convert to fraction form
    305.68/421.76 = 174.62/x
  3. Step 3: Cross multiply
    305.68x = 421.76 × 174.62
  4. Step 4: Simplify right side
    305.68x = 73,646.06
  5. Step 5: Solve for x
    x = 73,646.06/305.68
  6. Step 6: Final answer
    x = 240.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.