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Finding the Fourth Proportional to 257.55, 385.77 and 214.11

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Solution

The fourth proportional to 257.55, 385.77 and 214.11 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 385.77 = 214.11 : x
  2. Step 2: Convert to fraction form
    257.55/385.77 = 214.11/x
  3. Step 3: Cross multiply
    257.55x = 385.77 × 214.11
  4. Step 4: Simplify right side
    257.55x = 82,597.21
  5. Step 5: Solve for x
    x = 82,597.21/257.55
  6. Step 6: Final answer
    x = 320.70

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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.