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Finding the Fourth Proportional to 203.02, 280.19 and 114.51

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Solution

The fourth proportional to 203.02, 280.19 and 114.51 is: 158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.02 : 280.19 = 114.51 : x
  2. Step 2: Convert to fraction form
    203.02/280.19 = 114.51/x
  3. Step 3: Cross multiply
    203.02x = 280.19 × 114.51
  4. Step 4: Simplify right side
    203.02x = 32,085.62
  5. Step 5: Solve for x
    x = 32,085.62/203.02
  6. Step 6: Final answer
    x = 158.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.