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Finding the Fourth Proportional to 172.04, 256.53 and 152.96

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Solution

The fourth proportional to 172.04, 256.53 and 152.96 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 256.53 = 152.96 : x
  2. Step 2: Convert to fraction form
    172.04/256.53 = 152.96/x
  3. Step 3: Cross multiply
    172.04x = 256.53 × 152.96
  4. Step 4: Simplify right side
    172.04x = 39,238.06
  5. Step 5: Solve for x
    x = 39,238.06/172.04
  6. Step 6: Final answer
    x = 228.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.