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Finding the Fourth Proportional to 253.18, 349.14 and 209.98

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Solution

The fourth proportional to 253.18, 349.14 and 209.98 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 349.14 = 209.98 : x
  2. Step 2: Convert to fraction form
    253.18/349.14 = 209.98/x
  3. Step 3: Cross multiply
    253.18x = 349.14 × 209.98
  4. Step 4: Simplify right side
    253.18x = 73,312.42
  5. Step 5: Solve for x
    x = 73,312.42/253.18
  6. Step 6: Final answer
    x = 289.57

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