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Finding the Fourth Proportional to 257.26, 354.98 and 152.34

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Solution

The fourth proportional to 257.26, 354.98 and 152.34 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 354.98 = 152.34 : x
  2. Step 2: Convert to fraction form
    257.26/354.98 = 152.34/x
  3. Step 3: Cross multiply
    257.26x = 354.98 × 152.34
  4. Step 4: Simplify right side
    257.26x = 54,077.65
  5. Step 5: Solve for x
    x = 54,077.65/257.26
  6. Step 6: Final answer
    x = 210.21

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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.