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Finding the Fourth Proportional to 202.40, 302.83 and 134.00

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Solution

The fourth proportional to 202.40, 302.83 and 134.00 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 302.83 = 134.00 : x
  2. Step 2: Convert to fraction form
    202.40/302.83 = 134.00/x
  3. Step 3: Cross multiply
    202.40x = 302.83 × 134.00
  4. Step 4: Simplify right side
    202.40x = 40,579.64
  5. Step 5: Solve for x
    x = 40,579.64/202.40
  6. Step 6: Final answer
    x = 200.50

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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.