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Finding the Fourth Proportional to 256.99, 354.63 and 146.46

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Solution

The fourth proportional to 256.99, 354.63 and 146.46 is: 202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.99 : 354.63 = 146.46 : x
  2. Step 2: Convert to fraction form
    256.99/354.63 = 146.46/x
  3. Step 3: Cross multiply
    256.99x = 354.63 × 146.46
  4. Step 4: Simplify right side
    256.99x = 51,939.11
  5. Step 5: Solve for x
    x = 51,939.11/256.99
  6. Step 6: Final answer
    x = 202.11

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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.