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Finding the Fourth Proportional to 407.06, 610.61 and 118.50

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Solution

The fourth proportional to 407.06, 610.61 and 118.50 is: 177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 610.61 = 118.50 : x
  2. Step 2: Convert to fraction form
    407.06/610.61 = 118.50/x
  3. Step 3: Cross multiply
    407.06x = 610.61 × 118.50
  4. Step 4: Simplify right side
    407.06x = 72,357.29
  5. Step 5: Solve for x
    x = 72,357.29/407.06
  6. Step 6: Final answer
    x = 177.76

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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.