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Finding the Fourth Proportional to 256.51, 354 and 212.77

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Solution

The fourth proportional to 256.51, 354 and 212.77 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.51 : 354 = 212.77 : x
  2. Step 2: Convert to fraction form
    256.51/354 = 212.77/x
  3. Step 3: Cross multiply
    256.51x = 354 × 212.77
  4. Step 4: Simplify right side
    256.51x = 75,320.58
  5. Step 5: Solve for x
    x = 75,320.58/256.51
  6. Step 6: Final answer
    x = 293.64

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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.