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Finding the Fourth Proportional to 493.90, 740.64 and 186.00

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Solution

The fourth proportional to 493.90, 740.64 and 186.00 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 740.64 = 186.00 : x
  2. Step 2: Convert to fraction form
    493.90/740.64 = 186.00/x
  3. Step 3: Cross multiply
    493.90x = 740.64 × 186.00
  4. Step 4: Simplify right side
    493.90x = 137,756.96
  5. Step 5: Solve for x
    x = 137,756.96/493.90
  6. Step 6: Final answer
    x = 278.92

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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.