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Finding the Fourth Proportional to 305.65, 457.75 and 189.78

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Solution

The fourth proportional to 305.65, 457.75 and 189.78 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 457.75 = 189.78 : x
  2. Step 2: Convert to fraction form
    305.65/457.75 = 189.78/x
  3. Step 3: Cross multiply
    305.65x = 457.75 × 189.78
  4. Step 4: Simplify right side
    305.65x = 86,871.80
  5. Step 5: Solve for x
    x = 86,871.80/305.65
  6. Step 6: Final answer
    x = 284.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.