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Finding the Fourth Proportional to 189.10, 260.94 and 110.40

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Solution

The fourth proportional to 189.10, 260.94 and 110.40 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.10 : 260.94 = 110.40 : x
  2. Step 2: Convert to fraction form
    189.10/260.94 = 110.40/x
  3. Step 3: Cross multiply
    189.10x = 260.94 × 110.40
  4. Step 4: Simplify right side
    189.10x = 28,807.78
  5. Step 5: Solve for x
    x = 28,807.78/189.10
  6. Step 6: Final answer
    x = 152.34

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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.