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Finding the Fourth Proportional to 357.51, 536.45 and 164.91

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Solution

The fourth proportional to 357.51, 536.45 and 164.91 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.51 : 536.45 = 164.91 : x
  2. Step 2: Convert to fraction form
    357.51/536.45 = 164.91/x
  3. Step 3: Cross multiply
    357.51x = 536.45 × 164.91
  4. Step 4: Simplify right side
    357.51x = 88,465.14
  5. Step 5: Solve for x
    x = 88,465.14/357.51
  6. Step 6: Final answer
    x = 247.45

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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.