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Finding the Fourth Proportional to 178.91, 246.98 and 135.26

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Solution

The fourth proportional to 178.91, 246.98 and 135.26 is: 186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.91 : 246.98 = 135.26 : x
  2. Step 2: Convert to fraction form
    178.91/246.98 = 135.26/x
  3. Step 3: Cross multiply
    178.91x = 246.98 × 135.26
  4. Step 4: Simplify right side
    178.91x = 33,406.51
  5. Step 5: Solve for x
    x = 33,406.51/178.91
  6. Step 6: Final answer
    x = 186.72

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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.