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Finding the Fourth Proportional to 204.30, 305.99 and 117.50

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Solution

The fourth proportional to 204.30, 305.99 and 117.50 is: 175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.30 : 305.99 = 117.50 : x
  2. Step 2: Convert to fraction form
    204.30/305.99 = 117.50/x
  3. Step 3: Cross multiply
    204.30x = 305.99 × 117.50
  4. Step 4: Simplify right side
    204.30x = 35,953.83
  5. Step 5: Solve for x
    x = 35,953.83/204.30
  6. Step 6: Final answer
    x = 175.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.