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Finding the Fourth Proportional to 264.66, 397.59 and 156.52

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Solution

The fourth proportional to 264.66, 397.59 and 156.52 is: 235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.66 : 397.59 = 156.52 : x
  2. Step 2: Convert to fraction form
    264.66/397.59 = 156.52/x
  3. Step 3: Cross multiply
    264.66x = 397.59 × 156.52
  4. Step 4: Simplify right side
    264.66x = 62,230.79
  5. Step 5: Solve for x
    x = 62,230.79/264.66
  6. Step 6: Final answer
    x = 235.13

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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.