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Finding the Fourth Proportional to 189.19, 261.08 and 110.51

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Solution

The fourth proportional to 189.19, 261.08 and 110.51 is: 152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 261.08 = 110.51 : x
  2. Step 2: Convert to fraction form
    189.19/261.08 = 110.51/x
  3. Step 3: Cross multiply
    189.19x = 261.08 × 110.51
  4. Step 4: Simplify right side
    189.19x = 28,851.95
  5. Step 5: Solve for x
    x = 28,851.95/189.19
  6. Step 6: Final answer
    x = 152.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.