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Finding the Fourth Proportional to 368.42, 508.43 and 202.65

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Solution

The fourth proportional to 368.42, 508.43 and 202.65 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.42 : 508.43 = 202.65 : x
  2. Step 2: Convert to fraction form
    368.42/508.43 = 202.65/x
  3. Step 3: Cross multiply
    368.42x = 508.43 × 202.65
  4. Step 4: Simplify right side
    368.42x = 103,033.66
  5. Step 5: Solve for x
    x = 103,033.66/368.42
  6. Step 6: Final answer
    x = 279.67

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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.