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Finding the Fourth Proportional to 214.82, 296.58 and 165.60

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Solution

The fourth proportional to 214.82, 296.58 and 165.60 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.82 : 296.58 = 165.60 : x
  2. Step 2: Convert to fraction form
    214.82/296.58 = 165.60/x
  3. Step 3: Cross multiply
    214.82x = 296.58 × 165.60
  4. Step 4: Simplify right side
    214.82x = 49,113.65
  5. Step 5: Solve for x
    x = 49,113.65/214.82
  6. Step 6: Final answer
    x = 228.63

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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.