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Finding the Fourth Proportional to 189.53, 261.81 and 146.42

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Solution

The fourth proportional to 189.53, 261.81 and 146.42 is: 202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.53 : 261.81 = 146.42 : x
  2. Step 2: Convert to fraction form
    189.53/261.81 = 146.42/x
  3. Step 3: Cross multiply
    189.53x = 261.81 × 146.42
  4. Step 4: Simplify right side
    189.53x = 38,332.91
  5. Step 5: Solve for x
    x = 38,332.91/189.53
  6. Step 6: Final answer
    x = 202.26

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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.