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Finding the Fourth Proportional to 264.65, 365.21 and 146.63

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Solution

The fourth proportional to 264.65, 365.21 and 146.63 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.65 : 365.21 = 146.63 : x
  2. Step 2: Convert to fraction form
    264.65/365.21 = 146.63/x
  3. Step 3: Cross multiply
    264.65x = 365.21 × 146.63
  4. Step 4: Simplify right side
    264.65x = 53,550.74
  5. Step 5: Solve for x
    x = 53,550.74/264.65
  6. Step 6: Final answer
    x = 202.35

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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.