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Finding the Fourth Proportional to 202.02, 303.07 and 116.50

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Solution

The fourth proportional to 202.02, 303.07 and 116.50 is: 174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.02 : 303.07 = 116.50 : x
  2. Step 2: Convert to fraction form
    202.02/303.07 = 116.50/x
  3. Step 3: Cross multiply
    202.02x = 303.07 × 116.50
  4. Step 4: Simplify right side
    202.02x = 35,307.66
  5. Step 5: Solve for x
    x = 35,307.66/202.02
  6. Step 6: Final answer
    x = 174.77

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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.