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Finding the Fourth Proportional to 214.64, 296.50 and 166.14

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Solution

The fourth proportional to 214.64, 296.50 and 166.14 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 296.50 = 166.14 : x
  2. Step 2: Convert to fraction form
    214.64/296.50 = 166.14/x
  3. Step 3: Cross multiply
    214.64x = 296.50 × 166.14
  4. Step 4: Simplify right side
    214.64x = 49,260.51
  5. Step 5: Solve for x
    x = 49,260.51/214.64
  6. Step 6: Final answer
    x = 229.50

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Why These Related Problems?

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