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Finding the Fourth Proportional to 373.10, 558.21 and 202.22

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Solution

The fourth proportional to 373.10, 558.21 and 202.22 is: 302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.10 : 558.21 = 202.22 : x
  2. Step 2: Convert to fraction form
    373.10/558.21 = 202.22/x
  3. Step 3: Cross multiply
    373.10x = 558.21 × 202.22
  4. Step 4: Simplify right side
    373.10x = 112,881.23
  5. Step 5: Solve for x
    x = 112,881.23/373.10
  6. Step 6: Final answer
    x = 302.55

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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.