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Finding the Fourth Proportional to 256.30, 353.66 and 162.98

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Solution

The fourth proportional to 256.30, 353.66 and 162.98 is: 224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.30 : 353.66 = 162.98 : x
  2. Step 2: Convert to fraction form
    256.30/353.66 = 162.98/x
  3. Step 3: Cross multiply
    256.30x = 353.66 × 162.98
  4. Step 4: Simplify right side
    256.30x = 57,639.51
  5. Step 5: Solve for x
    x = 57,639.51/256.30
  6. Step 6: Final answer
    x = 224.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.