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Finding the Fourth Proportional to 369.80, 554.62 and 177.32

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Solution

The fourth proportional to 369.80, 554.62 and 177.32 is: 265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 554.62 = 177.32 : x
  2. Step 2: Convert to fraction form
    369.80/554.62 = 177.32/x
  3. Step 3: Cross multiply
    369.80x = 554.62 × 177.32
  4. Step 4: Simplify right side
    369.80x = 98,345.22
  5. Step 5: Solve for x
    x = 98,345.22/369.80
  6. Step 6: Final answer
    x = 265.94

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