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Finding the Fourth Proportional to 491.93, 738.18 and 184.00

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Solution

The fourth proportional to 491.93, 738.18 and 184.00 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.93 : 738.18 = 184.00 : x
  2. Step 2: Convert to fraction form
    491.93/738.18 = 184.00/x
  3. Step 3: Cross multiply
    491.93x = 738.18 × 184.00
  4. Step 4: Simplify right side
    491.93x = 135,821.89
  5. Step 5: Solve for x
    x = 135,821.89/491.93
  6. Step 6: Final answer
    x = 276.10

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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.