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Finding the Fourth Proportional to 256.02, 353.01 and 219.06

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Solution

The fourth proportional to 256.02, 353.01 and 219.06 is: 302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 353.01 = 219.06 : x
  2. Step 2: Convert to fraction form
    256.02/353.01 = 219.06/x
  3. Step 3: Cross multiply
    256.02x = 353.01 × 219.06
  4. Step 4: Simplify right side
    256.02x = 77,330.37
  5. Step 5: Solve for x
    x = 77,330.37/256.02
  6. Step 6: Final answer
    x = 302.05

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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.