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Finding the Fourth Proportional to 214.74, 296.01 and 155.52

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Solution

The fourth proportional to 214.74, 296.01 and 155.52 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 296.01 = 155.52 : x
  2. Step 2: Convert to fraction form
    214.74/296.01 = 155.52/x
  3. Step 3: Cross multiply
    214.74x = 296.01 × 155.52
  4. Step 4: Simplify right side
    214.74x = 46,035.48
  5. Step 5: Solve for x
    x = 46,035.48/214.74
  6. Step 6: Final answer
    x = 214.38

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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.