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Finding the Fourth Proportional to 178.13, 266.59 and 109.70

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Solution

The fourth proportional to 178.13, 266.59 and 109.70 is: 164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 266.59 = 109.70 : x
  2. Step 2: Convert to fraction form
    178.13/266.59 = 109.70/x
  3. Step 3: Cross multiply
    178.13x = 266.59 × 109.70
  4. Step 4: Simplify right side
    178.13x = 29,243.04
  5. Step 5: Solve for x
    x = 29,243.04/178.13
  6. Step 6: Final answer
    x = 164.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.