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Finding the Fourth Proportional to 281.78, 389.10 and 188.58

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Solution

The fourth proportional to 281.78, 389.10 and 188.58 is: 260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.78 : 389.10 = 188.58 : x
  2. Step 2: Convert to fraction form
    281.78/389.10 = 188.58/x
  3. Step 3: Cross multiply
    281.78x = 389.10 × 188.58
  4. Step 4: Simplify right side
    281.78x = 73,376.46
  5. Step 5: Solve for x
    x = 73,376.46/281.78
  6. Step 6: Final answer
    x = 260.40

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