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Finding the Fourth Proportional to 256.61, 354.13 and 146.11

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Solution

The fourth proportional to 256.61, 354.13 and 146.11 is: 201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.61 : 354.13 = 146.11 : x
  2. Step 2: Convert to fraction form
    256.61/354.13 = 146.11/x
  3. Step 3: Cross multiply
    256.61x = 354.13 × 146.11
  4. Step 4: Simplify right side
    256.61x = 51,741.93
  5. Step 5: Solve for x
    x = 51,741.93/256.61
  6. Step 6: Final answer
    x = 201.64

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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.