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Finding the Fourth Proportional to 214.06, 295.06 and 151.76

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Solution

The fourth proportional to 214.06, 295.06 and 151.76 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 295.06 = 151.76 : x
  2. Step 2: Convert to fraction form
    214.06/295.06 = 151.76/x
  3. Step 3: Cross multiply
    214.06x = 295.06 × 151.76
  4. Step 4: Simplify right side
    214.06x = 44,778.31
  5. Step 5: Solve for x
    x = 44,778.31/214.06
  6. Step 6: Final answer
    x = 209.19

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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.