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Finding the Fourth Proportional to 214.45, 295.79 and 156.13

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Solution

The fourth proportional to 214.45, 295.79 and 156.13 is: 215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 295.79 = 156.13 : x
  2. Step 2: Convert to fraction form
    214.45/295.79 = 156.13/x
  3. Step 3: Cross multiply
    214.45x = 295.79 × 156.13
  4. Step 4: Simplify right side
    214.45x = 46,180.17
  5. Step 5: Solve for x
    x = 46,180.17/214.45
  6. Step 6: Final answer
    x = 215.34

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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.