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Finding the Fourth Proportional to 259.90, 358.53 and 172.64

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Solution

The fourth proportional to 259.90, 358.53 and 172.64 is: 238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.90 : 358.53 = 172.64 : x
  2. Step 2: Convert to fraction form
    259.90/358.53 = 172.64/x
  3. Step 3: Cross multiply
    259.90x = 358.53 × 172.64
  4. Step 4: Simplify right side
    259.90x = 61,896.62
  5. Step 5: Solve for x
    x = 61,896.62/259.90
  6. Step 6: Final answer
    x = 238.16

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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.