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Finding the Fourth Proportional to 214.92, 296.73 and 156.60

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Solution

The fourth proportional to 214.92, 296.73 and 156.60 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 296.73 = 156.60 : x
  2. Step 2: Convert to fraction form
    214.92/296.73 = 156.60/x
  3. Step 3: Cross multiply
    214.92x = 296.73 × 156.60
  4. Step 4: Simplify right side
    214.92x = 46,467.92
  5. Step 5: Solve for x
    x = 46,467.92/214.92
  6. Step 6: Final answer
    x = 216.21

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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.