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Finding the Fourth Proportional to 256.48, 354.12 and 207.46

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Solution

The fourth proportional to 256.48, 354.12 and 207.46 is: 286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.48 : 354.12 = 207.46 : x
  2. Step 2: Convert to fraction form
    256.48/354.12 = 207.46/x
  3. Step 3: Cross multiply
    256.48x = 354.12 × 207.46
  4. Step 4: Simplify right side
    256.48x = 73,465.74
  5. Step 5: Solve for x
    x = 73,465.74/256.48
  6. Step 6: Final answer
    x = 286.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.