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Finding the Fourth Proportional to 245.82, 339.30 and 152.57

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Solution

The fourth proportional to 245.82, 339.30 and 152.57 is: 210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 339.30 = 152.57 : x
  2. Step 2: Convert to fraction form
    245.82/339.30 = 152.57/x
  3. Step 3: Cross multiply
    245.82x = 339.30 × 152.57
  4. Step 4: Simplify right side
    245.82x = 51,767.00
  5. Step 5: Solve for x
    x = 51,767.00/245.82
  6. Step 6: Final answer
    x = 210.59

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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.