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Finding the Fourth Proportional to 228.34, 314.79 and 170.02

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Solution

The fourth proportional to 228.34, 314.79 and 170.02 is: 234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.34 : 314.79 = 170.02 : x
  2. Step 2: Convert to fraction form
    228.34/314.79 = 170.02/x
  3. Step 3: Cross multiply
    228.34x = 314.79 × 170.02
  4. Step 4: Simplify right side
    228.34x = 53,520.60
  5. Step 5: Solve for x
    x = 53,520.60/228.34
  6. Step 6: Final answer
    x = 234.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.