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Finding the Fourth Proportional to 214.34, 295.76 and 131.46

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Solution

The fourth proportional to 214.34, 295.76 and 131.46 is: 181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 295.76 = 131.46 : x
  2. Step 2: Convert to fraction form
    214.34/295.76 = 131.46/x
  3. Step 3: Cross multiply
    214.34x = 295.76 × 131.46
  4. Step 4: Simplify right side
    214.34x = 38,880.61
  5. Step 5: Solve for x
    x = 38,880.61/214.34
  6. Step 6: Final answer
    x = 181.40

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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.