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Finding the Fourth Proportional to 228.25, 314.96 and 130.01

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Solution

The fourth proportional to 228.25, 314.96 and 130.01 is: 179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.25 : 314.96 = 130.01 : x
  2. Step 2: Convert to fraction form
    228.25/314.96 = 130.01/x
  3. Step 3: Cross multiply
    228.25x = 314.96 × 130.01
  4. Step 4: Simplify right side
    228.25x = 40,945.72
  5. Step 5: Solve for x
    x = 40,945.72/228.25
  6. Step 6: Final answer
    x = 179.39

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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.