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Finding the Fourth Proportional to 283.35, 390.96 and 172.86

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Solution

The fourth proportional to 283.35, 390.96 and 172.86 is: 238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.35 : 390.96 = 172.86 : x
  2. Step 2: Convert to fraction form
    283.35/390.96 = 172.86/x
  3. Step 3: Cross multiply
    283.35x = 390.96 × 172.86
  4. Step 4: Simplify right side
    283.35x = 67,581.35
  5. Step 5: Solve for x
    x = 67,581.35/283.35
  6. Step 6: Final answer
    x = 238.51

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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.