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Finding the Fourth Proportional to 283.09, 390.59 and 172.54

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Solution

The fourth proportional to 283.09, 390.59 and 172.54 is: 238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.09 : 390.59 = 172.54 : x
  2. Step 2: Convert to fraction form
    283.09/390.59 = 172.54/x
  3. Step 3: Cross multiply
    283.09x = 390.59 × 172.54
  4. Step 4: Simplify right side
    283.09x = 67,391.54
  5. Step 5: Solve for x
    x = 67,391.54/283.09
  6. Step 6: Final answer
    x = 238.06

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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.