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Finding the Fourth Proportional to 178.84, 268.08 and 148.24

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Solution

The fourth proportional to 178.84, 268.08 and 148.24 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 268.08 = 148.24 : x
  2. Step 2: Convert to fraction form
    178.84/268.08 = 148.24/x
  3. Step 3: Cross multiply
    178.84x = 268.08 × 148.24
  4. Step 4: Simplify right side
    178.84x = 39,740.18
  5. Step 5: Solve for x
    x = 39,740.18/178.84
  6. Step 6: Final answer
    x = 222.21

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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.