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Finding the Fourth Proportional to 257.01, 354.66 and 146.48

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Solution

The fourth proportional to 257.01, 354.66 and 146.48 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.01 : 354.66 = 146.48 : x
  2. Step 2: Convert to fraction form
    257.01/354.66 = 146.48/x
  3. Step 3: Cross multiply
    257.01x = 354.66 × 146.48
  4. Step 4: Simplify right side
    257.01x = 51,948.82
  5. Step 5: Solve for x
    x = 51,948.82/257.01
  6. Step 6: Final answer
    x = 202.13

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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.