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Finding the Fourth Proportional to 160, 241.23 and 128.32

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Solution

The fourth proportional to 160, 241.23 and 128.32 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 241.23 = 128.32 : x
  2. Step 2: Convert to fraction form
    160/241.23 = 128.32/x
  3. Step 3: Cross multiply
    160x = 241.23 × 128.32
  4. Step 4: Simplify right side
    160x = 30,954.63
  5. Step 5: Solve for x
    x = 30,954.63/160
  6. Step 6: Final answer
    x = 193.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.