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Finding the Fourth Proportional to 245.51, 369.71 and 204.76

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Solution

The fourth proportional to 245.51, 369.71 and 204.76 is: 308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.51 : 369.71 = 204.76 : x
  2. Step 2: Convert to fraction form
    245.51/369.71 = 204.76/x
  3. Step 3: Cross multiply
    245.51x = 369.71 × 204.76
  4. Step 4: Simplify right side
    245.51x = 75,701.41
  5. Step 5: Solve for x
    x = 75,701.41/245.51
  6. Step 6: Final answer
    x = 308.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.