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Finding the Fourth Proportional to 189.37, 260.46 and 152.47

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Solution

The fourth proportional to 189.37, 260.46 and 152.47 is: 209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.37 : 260.46 = 152.47 : x
  2. Step 2: Convert to fraction form
    189.37/260.46 = 152.47/x
  3. Step 3: Cross multiply
    189.37x = 260.46 × 152.47
  4. Step 4: Simplify right side
    189.37x = 39,712.34
  5. Step 5: Solve for x
    x = 39,712.34/189.37
  6. Step 6: Final answer
    x = 209.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.