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Finding the Fourth Proportional to 178.14, 266.58 and 105.60

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Solution

The fourth proportional to 178.14, 266.58 and 105.60 is: 158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 266.58 = 105.60 : x
  2. Step 2: Convert to fraction form
    178.14/266.58 = 105.60/x
  3. Step 3: Cross multiply
    178.14x = 266.58 × 105.60
  4. Step 4: Simplify right side
    178.14x = 28,150.85
  5. Step 5: Solve for x
    x = 28,150.85/178.14
  6. Step 6: Final answer
    x = 158.03

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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.