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Finding the Fourth Proportional to 178.80, 268.19 and 117.99

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Solution

The fourth proportional to 178.80, 268.19 and 117.99 is: 176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 268.19 = 117.99 : x
  2. Step 2: Convert to fraction form
    178.80/268.19 = 117.99/x
  3. Step 3: Cross multiply
    178.80x = 268.19 × 117.99
  4. Step 4: Simplify right side
    178.80x = 31,643.74
  5. Step 5: Solve for x
    x = 31,643.74/178.80
  6. Step 6: Final answer
    x = 176.98

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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.