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Finding the Fourth Proportional to 592.14, 888.32 and 202.12

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Solution

The fourth proportional to 592.14, 888.32 and 202.12 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.14 : 888.32 = 202.12 : x
  2. Step 2: Convert to fraction form
    592.14/888.32 = 202.12/x
  3. Step 3: Cross multiply
    592.14x = 888.32 × 202.12
  4. Step 4: Simplify right side
    592.14x = 179,547.24
  5. Step 5: Solve for x
    x = 179,547.24/592.14
  6. Step 6: Final answer
    x = 303.22

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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.