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Finding the Fourth Proportional to 256.94, 354.91 and 208.01

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Solution

The fourth proportional to 256.94, 354.91 and 208.01 is: 287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.94 : 354.91 = 208.01 : x
  2. Step 2: Convert to fraction form
    256.94/354.91 = 208.01/x
  3. Step 3: Cross multiply
    256.94x = 354.91 × 208.01
  4. Step 4: Simplify right side
    256.94x = 73,822.53
  5. Step 5: Solve for x
    x = 73,822.53/256.94
  6. Step 6: Final answer
    x = 287.32

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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.