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Finding the Fourth Proportional to 203.40, 313.02 and 203.40

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Solution

The fourth proportional to 203.40, 313.02 and 203.40 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 313.02 = 203.40 : x
  2. Step 2: Convert to fraction form
    203.40/313.02 = 203.40/x
  3. Step 3: Cross multiply
    203.40x = 313.02 × 203.40
  4. Step 4: Simplify right side
    203.40x = 63,668.27
  5. Step 5: Solve for x
    x = 63,668.27/203.40
  6. Step 6: Final answer
    x = 313.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.