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Finding the Fourth Proportional to 178.50, 246.72 and 143.58

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Solution

The fourth proportional to 178.50, 246.72 and 143.58 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 246.72 = 143.58 : x
  2. Step 2: Convert to fraction form
    178.50/246.72 = 143.58/x
  3. Step 3: Cross multiply
    178.50x = 246.72 × 143.58
  4. Step 4: Simplify right side
    178.50x = 35,424.06
  5. Step 5: Solve for x
    x = 35,424.06/178.50
  6. Step 6: Final answer
    x = 198.45

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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.