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Finding the Fourth Proportional to 214.63, 296.13 and 164.89

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Solution

The fourth proportional to 214.63, 296.13 and 164.89 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 296.13 = 164.89 : x
  2. Step 2: Convert to fraction form
    214.63/296.13 = 164.89/x
  3. Step 3: Cross multiply
    214.63x = 296.13 × 164.89
  4. Step 4: Simplify right side
    214.63x = 48,828.14
  5. Step 5: Solve for x
    x = 48,828.14/214.63
  6. Step 6: Final answer
    x = 227.50

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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.