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Finding the Fourth Proportional to 189.37, 285.11 and 148.46

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Solution

The fourth proportional to 189.37, 285.11 and 148.46 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 285.11 = 148.46 : x
  2. Step 2: Convert to fraction form
    189.37/285.11 = 148.46/x
  3. Step 3: Cross multiply
    189.37x = 285.11 × 148.46
  4. Step 4: Simplify right side
    189.37x = 42,328.51
  5. Step 5: Solve for x
    x = 42,328.51/189.37
  6. Step 6: Final answer
    x = 223.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.