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Finding the Fourth Proportional to 256.59, 354.10 and 146.07

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Solution

The fourth proportional to 256.59, 354.10 and 146.07 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 354.10 = 146.07 : x
  2. Step 2: Convert to fraction form
    256.59/354.10 = 146.07/x
  3. Step 3: Cross multiply
    256.59x = 354.10 × 146.07
  4. Step 4: Simplify right side
    256.59x = 51,721.39
  5. Step 5: Solve for x
    x = 51,721.39/256.59
  6. Step 6: Final answer
    x = 201.57

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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.