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Finding the Fourth Proportional to 204.64, 304.76 and 203.47

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Solution

The fourth proportional to 204.64, 304.76 and 203.47 is: 303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.64 : 304.76 = 203.47 : x
  2. Step 2: Convert to fraction form
    204.64/304.76 = 203.47/x
  3. Step 3: Cross multiply
    204.64x = 304.76 × 203.47
  4. Step 4: Simplify right side
    204.64x = 62,009.52
  5. Step 5: Solve for x
    x = 62,009.52/204.64
  6. Step 6: Final answer
    x = 303.02

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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.