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Finding the Fourth Proportional to 214.64, 295.81 and 156.32

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Solution

The fourth proportional to 214.64, 295.81 and 156.32 is: 215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 295.81 = 156.32 : x
  2. Step 2: Convert to fraction form
    214.64/295.81 = 156.32/x
  3. Step 3: Cross multiply
    214.64x = 295.81 × 156.32
  4. Step 4: Simplify right side
    214.64x = 46,241.02
  5. Step 5: Solve for x
    x = 46,241.02/214.64
  6. Step 6: Final answer
    x = 215.44

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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.