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Finding the Fourth Proportional to 189.34, 261.55 and 146.23

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Solution

The fourth proportional to 189.34, 261.55 and 146.23 is: 202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 261.55 = 146.23 : x
  2. Step 2: Convert to fraction form
    189.34/261.55 = 146.23/x
  3. Step 3: Cross multiply
    189.34x = 261.55 × 146.23
  4. Step 4: Simplify right side
    189.34x = 38,245.99
  5. Step 5: Solve for x
    x = 38,245.99/189.34
  6. Step 6: Final answer
    x = 202.00

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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.