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Finding the Fourth Proportional to 648.86, 973.42 and 186.64

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Solution

The fourth proportional to 648.86, 973.42 and 186.64 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 973.42 = 186.64 : x
  2. Step 2: Convert to fraction form
    648.86/973.42 = 186.64/x
  3. Step 3: Cross multiply
    648.86x = 973.42 × 186.64
  4. Step 4: Simplify right side
    648.86x = 181,679.11
  5. Step 5: Solve for x
    x = 181,679.11/648.86
  6. Step 6: Final answer
    x = 280.00

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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.