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Finding the Fourth Proportional to 228.48, 314.56 and 189.20

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Solution

The fourth proportional to 228.48, 314.56 and 189.20 is: 260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.48 : 314.56 = 189.20 : x
  2. Step 2: Convert to fraction form
    228.48/314.56 = 189.20/x
  3. Step 3: Cross multiply
    228.48x = 314.56 × 189.20
  4. Step 4: Simplify right side
    228.48x = 59,514.75
  5. Step 5: Solve for x
    x = 59,514.75/228.48
  6. Step 6: Final answer
    x = 260.48

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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.