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Finding the Fourth Proportional to 264.74, 365.33 and 146.71

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Solution

The fourth proportional to 264.74, 365.33 and 146.71 is: 202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.74 : 365.33 = 146.71 : x
  2. Step 2: Convert to fraction form
    264.74/365.33 = 146.71/x
  3. Step 3: Cross multiply
    264.74x = 365.33 × 146.71
  4. Step 4: Simplify right side
    264.74x = 53,595.51
  5. Step 5: Solve for x
    x = 53,595.51/264.74
  6. Step 6: Final answer
    x = 202.45

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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.