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Finding the Fourth Proportional to 178.23, 266.94 and 160.01

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Solution

The fourth proportional to 178.23, 266.94 and 160.01 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 266.94 = 160.01 : x
  2. Step 2: Convert to fraction form
    178.23/266.94 = 160.01/x
  3. Step 3: Cross multiply
    178.23x = 266.94 × 160.01
  4. Step 4: Simplify right side
    178.23x = 42,711.73
  5. Step 5: Solve for x
    x = 42,711.73/178.23
  6. Step 6: Final answer
    x = 239.64

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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.