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Finding the Fourth Proportional to 245.36, 368.02 and 177

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Solution

The fourth proportional to 245.36, 368.02 and 177 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 368.02 = 177 : x
  2. Step 2: Convert to fraction form
    245.36/368.02 = 177/x
  3. Step 3: Cross multiply
    245.36x = 368.02 × 177
  4. Step 4: Simplify right side
    245.36x = 65,139.54
  5. Step 5: Solve for x
    x = 65,139.54/245.36
  6. Step 6: Final answer
    x = 265.49

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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.