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Finding the Fourth Proportional to 257.20, 354.96 and 146.65

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Solution

The fourth proportional to 257.20, 354.96 and 146.65 is: 202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.20 : 354.96 = 146.65 : x
  2. Step 2: Convert to fraction form
    257.20/354.96 = 146.65/x
  3. Step 3: Cross multiply
    257.20x = 354.96 × 146.65
  4. Step 4: Simplify right side
    257.20x = 52,056.46
  5. Step 5: Solve for x
    x = 52,056.46/257.20
  6. Step 6: Final answer
    x = 202.40

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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.