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Finding the Fourth Proportional to 343.38, 473.98 and 203.58

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Solution

The fourth proportional to 343.38, 473.98 and 203.58 is: 281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.38 : 473.98 = 203.58 : x
  2. Step 2: Convert to fraction form
    343.38/473.98 = 203.58/x
  3. Step 3: Cross multiply
    343.38x = 473.98 × 203.58
  4. Step 4: Simplify right side
    343.38x = 96,492.85
  5. Step 5: Solve for x
    x = 96,492.85/343.38
  6. Step 6: Final answer
    x = 281.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.