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Finding the Fourth Proportional to 228.96, 317.53 and 220.76

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Solution

The fourth proportional to 228.96, 317.53 and 220.76 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 317.53 = 220.76 : x
  2. Step 2: Convert to fraction form
    228.96/317.53 = 220.76/x
  3. Step 3: Cross multiply
    228.96x = 317.53 × 220.76
  4. Step 4: Simplify right side
    228.96x = 70,097.18
  5. Step 5: Solve for x
    x = 70,097.18/228.96
  6. Step 6: Final answer
    x = 306.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.