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Finding the Fourth Proportional to 204.66, 304.56 and 203.40

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Solution

The fourth proportional to 204.66, 304.56 and 203.40 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.66 : 304.56 = 203.40 : x
  2. Step 2: Convert to fraction form
    204.66/304.56 = 203.40/x
  3. Step 3: Cross multiply
    204.66x = 304.56 × 203.40
  4. Step 4: Simplify right side
    204.66x = 61,947.50
  5. Step 5: Solve for x
    x = 61,947.50/204.66
  6. Step 6: Final answer
    x = 302.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.