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Finding the Fourth Proportional to 369.60, 554.04 and 177.12

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Solution

The fourth proportional to 369.60, 554.04 and 177.12 is: 265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 554.04 = 177.12 : x
  2. Step 2: Convert to fraction form
    369.60/554.04 = 177.12/x
  3. Step 3: Cross multiply
    369.60x = 554.04 × 177.12
  4. Step 4: Simplify right side
    369.60x = 98,131.56
  5. Step 5: Solve for x
    x = 98,131.56/369.60
  6. Step 6: Final answer
    x = 265.51

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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.