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Finding the Fourth Proportional to 257.06, 354.65 and 146.45

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Solution

The fourth proportional to 257.06, 354.65 and 146.45 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 354.65 = 146.45 : x
  2. Step 2: Convert to fraction form
    257.06/354.65 = 146.45/x
  3. Step 3: Cross multiply
    257.06x = 354.65 × 146.45
  4. Step 4: Simplify right side
    257.06x = 51,939.47
  5. Step 5: Solve for x
    x = 51,939.47/257.06
  6. Step 6: Final answer
    x = 202.05

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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.