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Finding the Fourth Proportional to 573.03, 859.68 and 162.16

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Solution

The fourth proportional to 573.03, 859.68 and 162.16 is: 243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.03 : 859.68 = 162.16 : x
  2. Step 2: Convert to fraction form
    573.03/859.68 = 162.16/x
  3. Step 3: Cross multiply
    573.03x = 859.68 × 162.16
  4. Step 4: Simplify right side
    573.03x = 139,405.71
  5. Step 5: Solve for x
    x = 139,405.71/573.03
  6. Step 6: Final answer
    x = 243.28

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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.