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Finding the Fourth Proportional to 256.65, 354.16 and 146.13

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Solution

The fourth proportional to 256.65, 354.16 and 146.13 is: 201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.65 : 354.16 = 146.13 : x
  2. Step 2: Convert to fraction form
    256.65/354.16 = 146.13/x
  3. Step 3: Cross multiply
    256.65x = 354.16 × 146.13
  4. Step 4: Simplify right side
    256.65x = 51,753.40
  5. Step 5: Solve for x
    x = 51,753.40/256.65
  6. Step 6: Final answer
    x = 201.65

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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.