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Finding the Fourth Proportional to 342.42, 513.65 and 123.09

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Solution

The fourth proportional to 342.42, 513.65 and 123.09 is: 184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.42 : 513.65 = 123.09 : x
  2. Step 2: Convert to fraction form
    342.42/513.65 = 123.09/x
  3. Step 3: Cross multiply
    342.42x = 513.65 × 123.09
  4. Step 4: Simplify right side
    342.42x = 63,225.18
  5. Step 5: Solve for x
    x = 63,225.18/342.42
  6. Step 6: Final answer
    x = 184.64

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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.