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Finding the Fourth Proportional to 245.76, 368.16 and 137.28

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Solution

The fourth proportional to 245.76, 368.16 and 137.28 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 368.16 = 137.28 : x
  2. Step 2: Convert to fraction form
    245.76/368.16 = 137.28/x
  3. Step 3: Cross multiply
    245.76x = 368.16 × 137.28
  4. Step 4: Simplify right side
    245.76x = 50,541.00
  5. Step 5: Solve for x
    x = 50,541.00/245.76
  6. Step 6: Final answer
    x = 205.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.