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Finding the Fourth Proportional to 214.30, 296.05 and 183.53

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Solution

The fourth proportional to 214.30, 296.05 and 183.53 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 296.05 = 183.53 : x
  2. Step 2: Convert to fraction form
    214.30/296.05 = 183.53/x
  3. Step 3: Cross multiply
    214.30x = 296.05 × 183.53
  4. Step 4: Simplify right side
    214.30x = 54,334.34
  5. Step 5: Solve for x
    x = 54,334.34/214.30
  6. Step 6: Final answer
    x = 253.55

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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.