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Finding the Fourth Proportional to 182.25, 251.51 and 152.58

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Solution

The fourth proportional to 182.25, 251.51 and 152.58 is: 210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 251.51 = 152.58 : x
  2. Step 2: Convert to fraction form
    182.25/251.51 = 152.58/x
  3. Step 3: Cross multiply
    182.25x = 251.51 × 152.58
  4. Step 4: Simplify right side
    182.25x = 38,375.58
  5. Step 5: Solve for x
    x = 38,375.58/182.25
  6. Step 6: Final answer
    x = 210.57

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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.