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Finding the Fourth Proportional to 189.58, 284.22 and 148.90

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Solution

The fourth proportional to 189.58, 284.22 and 148.90 is: 223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.58 : 284.22 = 148.90 : x
  2. Step 2: Convert to fraction form
    189.58/284.22 = 148.90/x
  3. Step 3: Cross multiply
    189.58x = 284.22 × 148.90
  4. Step 4: Simplify right side
    189.58x = 42,320.36
  5. Step 5: Solve for x
    x = 42,320.36/189.58
  6. Step 6: Final answer
    x = 223.23

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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.