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Finding the Fourth Proportional to 305.25, 421.44 and 188.88

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Solution

The fourth proportional to 305.25, 421.44 and 188.88 is: 260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.25 : 421.44 = 188.88 : x
  2. Step 2: Convert to fraction form
    305.25/421.44 = 188.88/x
  3. Step 3: Cross multiply
    305.25x = 421.44 × 188.88
  4. Step 4: Simplify right side
    305.25x = 79,598.54
  5. Step 5: Solve for x
    x = 79,598.54/305.25
  6. Step 6: Final answer
    x = 260.77

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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.