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Finding the Fourth Proportional to 193.32, 288.54 and 180.36

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Solution

The fourth proportional to 193.32, 288.54 and 180.36 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 288.54 = 180.36 : x
  2. Step 2: Convert to fraction form
    193.32/288.54 = 180.36/x
  3. Step 3: Cross multiply
    193.32x = 288.54 × 180.36
  4. Step 4: Simplify right side
    193.32x = 52,041.07
  5. Step 5: Solve for x
    x = 52,041.07/193.32
  6. Step 6: Final answer
    x = 269.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.