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Finding the Fourth Proportional to 147.37, 203.22 and 114.56

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Solution

The fourth proportional to 147.37, 203.22 and 114.56 is: 157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.37 : 203.22 = 114.56 : x
  2. Step 2: Convert to fraction form
    147.37/203.22 = 114.56/x
  3. Step 3: Cross multiply
    147.37x = 203.22 × 114.56
  4. Step 4: Simplify right side
    147.37x = 23,281.39
  5. Step 5: Solve for x
    x = 23,281.39/147.37
  6. Step 6: Final answer
    x = 157.98

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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.