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Finding the Fourth Proportional to 506.51, 760.11 and 177.45

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Solution

The fourth proportional to 506.51, 760.11 and 177.45 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.51 : 760.11 = 177.45 : x
  2. Step 2: Convert to fraction form
    506.51/760.11 = 177.45/x
  3. Step 3: Cross multiply
    506.51x = 760.11 × 177.45
  4. Step 4: Simplify right side
    506.51x = 134,876.83
  5. Step 5: Solve for x
    x = 134,876.83/506.51
  6. Step 6: Final answer
    x = 266.29

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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.