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Finding the Fourth Proportional to 189.29, 260.97 and 145.06

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Solution

The fourth proportional to 189.29, 260.97 and 145.06 is: 199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.29 : 260.97 = 145.06 : x
  2. Step 2: Convert to fraction form
    189.29/260.97 = 145.06/x
  3. Step 3: Cross multiply
    189.29x = 260.97 × 145.06
  4. Step 4: Simplify right side
    189.29x = 37,855.11
  5. Step 5: Solve for x
    x = 37,855.11/189.29
  6. Step 6: Final answer
    x = 199.98

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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.