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Finding the Fourth Proportional to 257, 385.80 and 188.96

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Solution

The fourth proportional to 257, 385.80 and 188.96 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 385.80 = 188.96 : x
  2. Step 2: Convert to fraction form
    257/385.80 = 188.96/x
  3. Step 3: Cross multiply
    257x = 385.80 × 188.96
  4. Step 4: Simplify right side
    257x = 72,900.77
  5. Step 5: Solve for x
    x = 72,900.77/257
  6. Step 6: Final answer
    x = 283.66

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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.