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Finding the Fourth Proportional to 152.10, 228.24 and 117.93

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Solution

The fourth proportional to 152.10, 228.24 and 117.93 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 228.24 = 117.93 : x
  2. Step 2: Convert to fraction form
    152.10/228.24 = 117.93/x
  3. Step 3: Cross multiply
    152.10x = 228.24 × 117.93
  4. Step 4: Simplify right side
    152.10x = 26,916.34
  5. Step 5: Solve for x
    x = 26,916.34/152.10
  6. Step 6: Final answer
    x = 176.96

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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.