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Finding the Fourth Proportional to 370.03, 554.64 and 177.25

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Solution

The fourth proportional to 370.03, 554.64 and 177.25 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.03 : 554.64 = 177.25 : x
  2. Step 2: Convert to fraction form
    370.03/554.64 = 177.25/x
  3. Step 3: Cross multiply
    370.03x = 554.64 × 177.25
  4. Step 4: Simplify right side
    370.03x = 98,309.94
  5. Step 5: Solve for x
    x = 98,309.94/370.03
  6. Step 6: Final answer
    x = 265.68

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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.