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Finding the Fourth Proportional to 145.31, 200.34 and 120.74

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Solution

The fourth proportional to 145.31, 200.34 and 120.74 is: 166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.31 : 200.34 = 120.74 : x
  2. Step 2: Convert to fraction form
    145.31/200.34 = 120.74/x
  3. Step 3: Cross multiply
    145.31x = 200.34 × 120.74
  4. Step 4: Simplify right side
    145.31x = 24,188.05
  5. Step 5: Solve for x
    x = 24,188.05/145.31
  6. Step 6: Final answer
    x = 166.46

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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.