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Finding the Fourth Proportional to 228.09, 341.93 and 106.25

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Solution

The fourth proportional to 228.09, 341.93 and 106.25 is: 159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.09 : 341.93 = 106.25 : x
  2. Step 2: Convert to fraction form
    228.09/341.93 = 106.25/x
  3. Step 3: Cross multiply
    228.09x = 341.93 × 106.25
  4. Step 4: Simplify right side
    228.09x = 36,330.06
  5. Step 5: Solve for x
    x = 36,330.06/228.09
  6. Step 6: Final answer
    x = 159.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.