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Finding the Fourth Proportional to 264.62, 365.16 and 152.58

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Solution

The fourth proportional to 264.62, 365.16 and 152.58 is: 210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.62 : 365.16 = 152.58 : x
  2. Step 2: Convert to fraction form
    264.62/365.16 = 152.58/x
  3. Step 3: Cross multiply
    264.62x = 365.16 × 152.58
  4. Step 4: Simplify right side
    264.62x = 55,717.48
  5. Step 5: Solve for x
    x = 55,717.48/264.62
  6. Step 6: Final answer
    x = 210.56

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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.