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Finding the Fourth Proportional to 202.34, 302.80 and 140.34

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Solution

The fourth proportional to 202.34, 302.80 and 140.34 is: 210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 302.80 = 140.34 : x
  2. Step 2: Convert to fraction form
    202.34/302.80 = 140.34/x
  3. Step 3: Cross multiply
    202.34x = 302.80 × 140.34
  4. Step 4: Simplify right side
    202.34x = 42,494.60
  5. Step 5: Solve for x
    x = 42,494.60/202.34
  6. Step 6: Final answer
    x = 210.01

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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.