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Finding the Fourth Proportional to 214.37, 322.12 and 187.58

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Solution

The fourth proportional to 214.37, 322.12 and 187.58 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.37 : 322.12 = 187.58 : x
  2. Step 2: Convert to fraction form
    214.37/322.12 = 187.58/x
  3. Step 3: Cross multiply
    214.37x = 322.12 × 187.58
  4. Step 4: Simplify right side
    214.37x = 60,421.19
  5. Step 5: Solve for x
    x = 60,421.19/214.37
  6. Step 6: Final answer
    x = 281.86

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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.