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Finding the Fourth Proportional to 160.93, 241.40 and 152.28

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Solution

The fourth proportional to 160.93, 241.40 and 152.28 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.93 : 241.40 = 152.28 : x
  2. Step 2: Convert to fraction form
    160.93/241.40 = 152.28/x
  3. Step 3: Cross multiply
    160.93x = 241.40 × 152.28
  4. Step 4: Simplify right side
    160.93x = 36,760.39
  5. Step 5: Solve for x
    x = 36,760.39/160.93
  6. Step 6: Final answer
    x = 228.42

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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.