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Finding the Fourth Proportional to 152.73, 228.60 and 116.46

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Solution

The fourth proportional to 152.73, 228.60 and 116.46 is: 174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.73 : 228.60 = 116.46 : x
  2. Step 2: Convert to fraction form
    152.73/228.60 = 116.46/x
  3. Step 3: Cross multiply
    152.73x = 228.60 × 116.46
  4. Step 4: Simplify right side
    152.73x = 26,622.76
  5. Step 5: Solve for x
    x = 26,622.76/152.73
  6. Step 6: Final answer
    x = 174.31

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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.