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Finding the Fourth Proportional to 265.53, 397.92 and 148.35

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Solution

The fourth proportional to 265.53, 397.92 and 148.35 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.53 : 397.92 = 148.35 : x
  2. Step 2: Convert to fraction form
    265.53/397.92 = 148.35/x
  3. Step 3: Cross multiply
    265.53x = 397.92 × 148.35
  4. Step 4: Simplify right side
    265.53x = 59,031.43
  5. Step 5: Solve for x
    x = 59,031.43/265.53
  6. Step 6: Final answer
    x = 222.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.