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Finding the Fourth Proportional to 256.53, 354.02 and 146.01

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Solution

The fourth proportional to 256.53, 354.02 and 146.01 is: 201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.53 : 354.02 = 146.01 : x
  2. Step 2: Convert to fraction form
    256.53/354.02 = 146.01/x
  3. Step 3: Cross multiply
    256.53x = 354.02 × 146.01
  4. Step 4: Simplify right side
    256.53x = 51,688.89
  5. Step 5: Solve for x
    x = 51,688.89/256.53
  6. Step 6: Final answer
    x = 201.49

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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.