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Finding the Fourth Proportional to 178.18, 245.80 and 133.99

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Solution

The fourth proportional to 178.18, 245.80 and 133.99 is: 184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.18 : 245.80 = 133.99 : x
  2. Step 2: Convert to fraction form
    178.18/245.80 = 133.99/x
  3. Step 3: Cross multiply
    178.18x = 245.80 × 133.99
  4. Step 4: Simplify right side
    178.18x = 32,934.74
  5. Step 5: Solve for x
    x = 32,934.74/178.18
  6. Step 6: Final answer
    x = 184.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.