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Finding the Fourth Proportional to 365.02, 503.70 and 207.67

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Solution

The fourth proportional to 365.02, 503.70 and 207.67 is: 286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.02 : 503.70 = 207.67 : x
  2. Step 2: Convert to fraction form
    365.02/503.70 = 207.67/x
  3. Step 3: Cross multiply
    365.02x = 503.70 × 207.67
  4. Step 4: Simplify right side
    365.02x = 104,603.38
  5. Step 5: Solve for x
    x = 104,603.38/365.02
  6. Step 6: Final answer
    x = 286.57

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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.