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Finding the Fourth Proportional to 214.75, 322.16 and 128.15

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Solution

The fourth proportional to 214.75, 322.16 and 128.15 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 322.16 = 128.15 : x
  2. Step 2: Convert to fraction form
    214.75/322.16 = 128.15/x
  3. Step 3: Cross multiply
    214.75x = 322.16 × 128.15
  4. Step 4: Simplify right side
    214.75x = 41,284.16
  5. Step 5: Solve for x
    x = 41,284.16/214.75
  6. Step 6: Final answer
    x = 192.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.