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Finding the Fourth Proportional to 214.56, 320.07 and 188.64

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Solution

The fourth proportional to 214.56, 320.07 and 188.64 is: 281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 320.07 = 188.64 : x
  2. Step 2: Convert to fraction form
    214.56/320.07 = 188.64/x
  3. Step 3: Cross multiply
    214.56x = 320.07 × 188.64
  4. Step 4: Simplify right side
    214.56x = 60,378.00
  5. Step 5: Solve for x
    x = 60,378.00/214.56
  6. Step 6: Final answer
    x = 281.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.