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Finding the Fourth Proportional to 203.00, 304.20 and 157.13

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Solution

The fourth proportional to 203.00, 304.20 and 157.13 is: 235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.00 : 304.20 = 157.13 : x
  2. Step 2: Convert to fraction form
    203.00/304.20 = 157.13/x
  3. Step 3: Cross multiply
    203.00x = 304.20 × 157.13
  4. Step 4: Simplify right side
    203.00x = 47,797.43
  5. Step 5: Solve for x
    x = 47,797.43/203.00
  6. Step 6: Final answer
    x = 235.46

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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.