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Finding the Fourth Proportional to 256.92, 383.70 and 205.64

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Solution

The fourth proportional to 256.92, 383.70 and 205.64 is: 307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 383.70 = 205.64 : x
  2. Step 2: Convert to fraction form
    256.92/383.70 = 205.64/x
  3. Step 3: Cross multiply
    256.92x = 383.70 × 205.64
  4. Step 4: Simplify right side
    256.92x = 78,904.07
  5. Step 5: Solve for x
    x = 78,904.07/256.92
  6. Step 6: Final answer
    x = 307.12

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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.