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Finding the Fourth Proportional to 250.74, 374.65 and 202.14

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Solution

The fourth proportional to 250.74, 374.65 and 202.14 is: 302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.74 : 374.65 = 202.14 : x
  2. Step 2: Convert to fraction form
    250.74/374.65 = 202.14/x
  3. Step 3: Cross multiply
    250.74x = 374.65 × 202.14
  4. Step 4: Simplify right side
    250.74x = 75,731.25
  5. Step 5: Solve for x
    x = 75,731.25/250.74
  6. Step 6: Final answer
    x = 302.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.