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Finding the Fourth Proportional to 305.72, 421.76 and 187.59

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Solution

The fourth proportional to 305.72, 421.76 and 187.59 is: 258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.72 : 421.76 = 187.59 : x
  2. Step 2: Convert to fraction form
    305.72/421.76 = 187.59/x
  3. Step 3: Cross multiply
    305.72x = 421.76 × 187.59
  4. Step 4: Simplify right side
    305.72x = 79,118.43
  5. Step 5: Solve for x
    x = 79,118.43/305.72
  6. Step 6: Final answer
    x = 258.80

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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.