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Finding the Fourth Proportional to 172.80, 259.20 and 152.76

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Solution

The fourth proportional to 172.80, 259.20 and 152.76 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.80 : 259.20 = 152.76 : x
  2. Step 2: Convert to fraction form
    172.80/259.20 = 152.76/x
  3. Step 3: Cross multiply
    172.80x = 259.20 × 152.76
  4. Step 4: Simplify right side
    172.80x = 39,595.39
  5. Step 5: Solve for x
    x = 39,595.39/172.80
  6. Step 6: Final answer
    x = 229.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.