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Finding the Fourth Proportional to 189.19, 283.78 and 52.24

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Solution

The fourth proportional to 189.19, 283.78 and 52.24 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 283.78 = 52.24 : x
  2. Step 2: Convert to fraction form
    189.19/283.78 = 52.24/x
  3. Step 3: Cross multiply
    189.19x = 283.78 × 52.24
  4. Step 4: Simplify right side
    189.19x = 14,823.64
  5. Step 5: Solve for x
    x = 14,823.64/189.19
  6. Step 6: Final answer
    x = 78.35

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Why These Related Problems?

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