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Finding the Fourth Proportional to 380.42, 525.08 and 223.08

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Solution

The fourth proportional to 380.42, 525.08 and 223.08 is: 307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.42 : 525.08 = 223.08 : x
  2. Step 2: Convert to fraction form
    380.42/525.08 = 223.08/x
  3. Step 3: Cross multiply
    380.42x = 525.08 × 223.08
  4. Step 4: Simplify right side
    380.42x = 117,132.22
  5. Step 5: Solve for x
    x = 117,132.22/380.42
  6. Step 6: Final answer
    x = 307.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.