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Finding the Fourth Proportional to 207.04, 285.60 and 148.72

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Solution

The fourth proportional to 207.04, 285.60 and 148.72 is: 205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.04 : 285.60 = 148.72 : x
  2. Step 2: Convert to fraction form
    207.04/285.60 = 148.72/x
  3. Step 3: Cross multiply
    207.04x = 285.60 × 148.72
  4. Step 4: Simplify right side
    207.04x = 42,474.43
  5. Step 5: Solve for x
    x = 42,474.43/207.04
  6. Step 6: Final answer
    x = 205.15

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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.