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Finding the Fourth Proportional to 189.83, 282.88 and 184.55

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Solution

The fourth proportional to 189.83, 282.88 and 184.55 is: 275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.83 : 282.88 = 184.55 : x
  2. Step 2: Convert to fraction form
    189.83/282.88 = 184.55/x
  3. Step 3: Cross multiply
    189.83x = 282.88 × 184.55
  4. Step 4: Simplify right side
    189.83x = 52,204.09
  5. Step 5: Solve for x
    x = 52,204.09/189.83
  6. Step 6: Final answer
    x = 275.01

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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.