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Finding the Fourth Proportional to 257.15, 354.94 and 152.29

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Solution

The fourth proportional to 257.15, 354.94 and 152.29 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.15 : 354.94 = 152.29 : x
  2. Step 2: Convert to fraction form
    257.15/354.94 = 152.29/x
  3. Step 3: Cross multiply
    257.15x = 354.94 × 152.29
  4. Step 4: Simplify right side
    257.15x = 54,053.88
  5. Step 5: Solve for x
    x = 54,053.88/257.15
  6. Step 6: Final answer
    x = 210.20

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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.