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Finding the Fourth Proportional to 438.24, 657.69 and 194.93

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Solution

The fourth proportional to 438.24, 657.69 and 194.93 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.24 : 657.69 = 194.93 : x
  2. Step 2: Convert to fraction form
    438.24/657.69 = 194.93/x
  3. Step 3: Cross multiply
    438.24x = 657.69 × 194.93
  4. Step 4: Simplify right side
    438.24x = 128,203.51
  5. Step 5: Solve for x
    x = 128,203.51/438.24
  6. Step 6: Final answer
    x = 292.54

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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.