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Finding the Fourth Proportional to 245.54, 338.84 and 152.28

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Solution

The fourth proportional to 245.54, 338.84 and 152.28 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 338.84 = 152.28 : x
  2. Step 2: Convert to fraction form
    245.54/338.84 = 152.28/x
  3. Step 3: Cross multiply
    245.54x = 338.84 × 152.28
  4. Step 4: Simplify right side
    245.54x = 51,597.67
  5. Step 5: Solve for x
    x = 51,597.67/245.54
  6. Step 6: Final answer
    x = 210.14

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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.