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Finding the Fourth Proportional to 189.81, 282.80 and 187.14

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Solution

The fourth proportional to 189.81, 282.80 and 187.14 is: 278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 282.80 = 187.14 : x
  2. Step 2: Convert to fraction form
    189.81/282.80 = 187.14/x
  3. Step 3: Cross multiply
    189.81x = 282.80 × 187.14
  4. Step 4: Simplify right side
    189.81x = 52,922.07
  5. Step 5: Solve for x
    x = 52,922.07/189.81
  6. Step 6: Final answer
    x = 278.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.