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Finding the Fourth Proportional to 373.52, 559.16 and 202

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Solution

The fourth proportional to 373.52, 559.16 and 202 is: 302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.52 : 559.16 = 202 : x
  2. Step 2: Convert to fraction form
    373.52/559.16 = 202/x
  3. Step 3: Cross multiply
    373.52x = 559.16 × 202
  4. Step 4: Simplify right side
    373.52x = 112,950.32
  5. Step 5: Solve for x
    x = 112,950.32/373.52
  6. Step 6: Final answer
    x = 302.39

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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.