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Finding the Fourth Proportional to 207.16, 285.88 and 148.24

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Solution

The fourth proportional to 207.16, 285.88 and 148.24 is: 204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 285.88 = 148.24 : x
  2. Step 2: Convert to fraction form
    207.16/285.88 = 148.24/x
  3. Step 3: Cross multiply
    207.16x = 285.88 × 148.24
  4. Step 4: Simplify right side
    207.16x = 42,378.85
  5. Step 5: Solve for x
    x = 42,378.85/207.16
  6. Step 6: Final answer
    x = 204.57

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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.