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Finding the Fourth Proportional to 214.16, 295.80 and 155.84

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Solution

The fourth proportional to 214.16, 295.80 and 155.84 is: 215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 295.80 = 155.84 : x
  2. Step 2: Convert to fraction form
    214.16/295.80 = 155.84/x
  3. Step 3: Cross multiply
    214.16x = 295.80 × 155.84
  4. Step 4: Simplify right side
    214.16x = 46,097.47
  5. Step 5: Solve for x
    x = 46,097.47/214.16
  6. Step 6: Final answer
    x = 215.25

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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.