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Finding the Fourth Proportional to 295.84, 443.35 and 187.43

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Solution

The fourth proportional to 295.84, 443.35 and 187.43 is: 280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 443.35 = 187.43 : x
  2. Step 2: Convert to fraction form
    295.84/443.35 = 187.43/x
  3. Step 3: Cross multiply
    295.84x = 443.35 × 187.43
  4. Step 4: Simplify right side
    295.84x = 83,097.07
  5. Step 5: Solve for x
    x = 83,097.07/295.84
  6. Step 6: Final answer
    x = 280.89

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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.