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Finding the Fourth Proportional to 272.58, 409.06 and 128.32

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Solution

The fourth proportional to 272.58, 409.06 and 128.32 is: 192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 409.06 = 128.32 : x
  2. Step 2: Convert to fraction form
    272.58/409.06 = 128.32/x
  3. Step 3: Cross multiply
    272.58x = 409.06 × 128.32
  4. Step 4: Simplify right side
    272.58x = 52,490.58
  5. Step 5: Solve for x
    x = 52,490.58/272.58
  6. Step 6: Final answer
    x = 192.57

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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.