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Finding the Fourth Proportional to 245.49, 368.16 and 72.12

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Solution

The fourth proportional to 245.49, 368.16 and 72.12 is: 108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.49 : 368.16 = 72.12 : x
  2. Step 2: Convert to fraction form
    245.49/368.16 = 72.12/x
  3. Step 3: Cross multiply
    245.49x = 368.16 × 72.12
  4. Step 4: Simplify right side
    245.49x = 26,551.70
  5. Step 5: Solve for x
    x = 26,551.70/245.49
  6. Step 6: Final answer
    x = 108.16

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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.