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Finding the Fourth Proportional to 250.13, 374.65 and 206.30

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Solution

The fourth proportional to 250.13, 374.65 and 206.30 is: 309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.13 : 374.65 = 206.30 : x
  2. Step 2: Convert to fraction form
    250.13/374.65 = 206.30/x
  3. Step 3: Cross multiply
    250.13x = 374.65 × 206.30
  4. Step 4: Simplify right side
    250.13x = 77,291.81
  5. Step 5: Solve for x
    x = 77,291.81/250.13
  6. Step 6: Final answer
    x = 309.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.