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Finding the Fourth Proportional to 152.51, 228.54 and 98.24

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Solution

The fourth proportional to 152.51, 228.54 and 98.24 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.51 : 228.54 = 98.24 : x
  2. Step 2: Convert to fraction form
    152.51/228.54 = 98.24/x
  3. Step 3: Cross multiply
    152.51x = 228.54 × 98.24
  4. Step 4: Simplify right side
    152.51x = 22,451.77
  5. Step 5: Solve for x
    x = 22,451.77/152.51
  6. Step 6: Final answer
    x = 147.22

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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.