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Finding the Fourth Proportional to 210.10, 314.80 and 152.24

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Solution

The fourth proportional to 210.10, 314.80 and 152.24 is: 228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.10 : 314.80 = 152.24 : x
  2. Step 2: Convert to fraction form
    210.10/314.80 = 152.24/x
  3. Step 3: Cross multiply
    210.10x = 314.80 × 152.24
  4. Step 4: Simplify right side
    210.10x = 47,925.15
  5. Step 5: Solve for x
    x = 47,925.15/210.10
  6. Step 6: Final answer
    x = 228.11

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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.