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Finding the Fourth Proportional to 256.64, 354.10 and 146.10

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Solution

The fourth proportional to 256.64, 354.10 and 146.10 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 354.10 = 146.10 : x
  2. Step 2: Convert to fraction form
    256.64/354.10 = 146.10/x
  3. Step 3: Cross multiply
    256.64x = 354.10 × 146.10
  4. Step 4: Simplify right side
    256.64x = 51,734.01
  5. Step 5: Solve for x
    x = 51,734.01/256.64
  6. Step 6: Final answer
    x = 201.58

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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.